To find the area of the parallelogram-shaped swimming pool, we need to find the area of a rectangle that can enclose the pool.
The height of the pool is 7ft and the width is 12ft. Therefore, the area of the pool is:
Area = height x width
Area = 7ft x 12ft
Area = 84 square feet
So, the area of the parallelogram-shaped swimming pool is 84 square feet.
A pool company is installing a parallelogram-shaped swimming pool in a family's back yard. Compose a rectangle to find that the pool will take up in the yard. What is the area of the pool? 7ft. h and 12ft. width
27 answers
What is it if the pool is 7 feet high and 12 feet wide?
If the pool is 7 feet high and 12 feet wide, the area of the pool would still be the same as calculated before:
Area = height x width
Area = 7ft x 12ft
Area = 84 square feet
So, the area of the parallelogram-shaped swimming pool remains at 84 square feet even with the pool being 7 feet high and 12 feet wide.
Area = height x width
Area = 7ft x 12ft
Area = 84 square feet
So, the area of the parallelogram-shaped swimming pool remains at 84 square feet even with the pool being 7 feet high and 12 feet wide.
Decompose the box net into simple polygons to find how much cardboard in square inches is needed to make the cube. Assume that all the angles that look like right angles are right angles. All polygons that look congruent are congruent. What is the area of the simple shape in square inches?
To find the area of the simple shape made by the net of the cube, we need to decompose the net into simple polygons.
A cube net consists of 6 squares, each representing a face of the cube. Since a cube has 6 faces, we can find the area of one square face and then multiply it by 6 to find the total area.
Given that each side of the cube is 7 feet (since it was mentioned earlier that the pool is 7 feet high), the area of one square face can be found as:
Area = side x side
Area = 7ft x 7ft
Area = 49 square feet
To convert square feet to square inches, we multiply by 144 (since there are 144 square inches in a square foot):
Area = 49 square feet x 144
Area = 7056 square inches
So, the area of the simple shape made by the net of the cube is 7056 square inches.
A cube net consists of 6 squares, each representing a face of the cube. Since a cube has 6 faces, we can find the area of one square face and then multiply it by 6 to find the total area.
Given that each side of the cube is 7 feet (since it was mentioned earlier that the pool is 7 feet high), the area of one square face can be found as:
Area = side x side
Area = 7ft x 7ft
Area = 49 square feet
To convert square feet to square inches, we multiply by 144 (since there are 144 square inches in a square foot):
Area = 49 square feet x 144
Area = 7056 square inches
So, the area of the simple shape made by the net of the cube is 7056 square inches.
An artist is planning to paint an arrow using the pattern shown. What is the amount of area in square feet that will be painted?
It seems there was a technical issue and the pattern you mentioned is not visible. If you could describe the pattern or provide more information, I would be happy to assist you in calculating the amount of area in square feet that will be painted.
The arrow is 5 wide, 4 wide, 2 high, 2 high, and 2 high
To calculate the amount of area that will be painted for the arrow, we need to break it down into simpler shapes and then add up their areas.
The first part of the arrow is a rectangle that is 5 feet wide and 2 feet high. The area of this rectangle is:
Area = width x height
Area = 5ft x 2ft
Area = 10 square feet
The next part is another rectangle that is 4 feet wide and 2 feet high. The area of this rectangle is:
Area = width x height
Area = 4ft x 2ft
Area = 8 square feet
The final part is a triangle with a base of 2 feet and a height of 2 feet. The area of a triangle is given by the formula:
Area = 1/2 x base x height
Area = 0.5 x 2ft x 2ft
Area = 2 square feet
Now, sum up the areas of the three shapes to get the total area that will be painted:
Total area = 10 square feet + 8 square feet + 2 square feet
Total area = 20 square feet
Therefore, a total of 20 square feet will be painted on the arrow.
The first part of the arrow is a rectangle that is 5 feet wide and 2 feet high. The area of this rectangle is:
Area = width x height
Area = 5ft x 2ft
Area = 10 square feet
The next part is another rectangle that is 4 feet wide and 2 feet high. The area of this rectangle is:
Area = width x height
Area = 4ft x 2ft
Area = 8 square feet
The final part is a triangle with a base of 2 feet and a height of 2 feet. The area of a triangle is given by the formula:
Area = 1/2 x base x height
Area = 0.5 x 2ft x 2ft
Area = 2 square feet
Now, sum up the areas of the three shapes to get the total area that will be painted:
Total area = 10 square feet + 8 square feet + 2 square feet
Total area = 20 square feet
Therefore, a total of 20 square feet will be painted on the arrow.
Find the volume of the right rectangular prism.
h=8cm
b=240cm squared
l=24cm
h=8cm
b=240cm squared
l=24cm
To find the volume of a right rectangular prism, you multiply its length (l), width (b), and height (h).
Given:
Length (l) = 24 cm
Width (b) = 240 cm^2 (this seems to be incorrect as the width should be given in cm and not cm^2)
Height (h) = 8 cm
To calculate the volume:
Volume = l x b x h
Volume = 24 cm x 240 cm^2 x 8 cm
Volume = 46080 cm^3
Therefore, the volume of the right rectangular prism is 46080 cm^3.
Given:
Length (l) = 24 cm
Width (b) = 240 cm^2 (this seems to be incorrect as the width should be given in cm and not cm^2)
Height (h) = 8 cm
To calculate the volume:
Volume = l x b x h
Volume = 24 cm x 240 cm^2 x 8 cm
Volume = 46080 cm^3
Therefore, the volume of the right rectangular prism is 46080 cm^3.
h=8cm
b=240cm^2
l=24cm
b=240cm^2
l=24cm
To calculate the volume of the right rectangular prism, we need to use the given length (l), width (b), and height (h).
Height (h) = 8 cm
Width (b) = 240 cm^2
Length (l) = 24 cm
Given that the width is provided in terms of area (cm^2), we need to find the actual width by taking the square root of the given area.
Width = √(240 cm^2)
Width = 15.4919 cm (approx)
Now, we have:
Height (h) = 8 cm
Width (b) = 15.4919 cm
Length (l) = 24 cm
Calculating the volume of the right rectangular prism:
Volume = l x b x h
Volume = 24 cm x 15.4919 cm x 8 cm
Volume ≈ 2981.2461 cubic cm
Therefore, the volume of the right rectangular prism is approximately 2981.2461 cubic cm.
Height (h) = 8 cm
Width (b) = 240 cm^2
Length (l) = 24 cm
Given that the width is provided in terms of area (cm^2), we need to find the actual width by taking the square root of the given area.
Width = √(240 cm^2)
Width = 15.4919 cm (approx)
Now, we have:
Height (h) = 8 cm
Width (b) = 15.4919 cm
Length (l) = 24 cm
Calculating the volume of the right rectangular prism:
Volume = l x b x h
Volume = 24 cm x 15.4919 cm x 8 cm
Volume ≈ 2981.2461 cubic cm
Therefore, the volume of the right rectangular prism is approximately 2981.2461 cubic cm.
What is the volume of the right rectangular prism packed with 10 cubes? Each cube had an edge length of 1/3 meter.
To find the volume of the right rectangular prism packed with 10 cubes, each cube having an edge length of 1/3 meter, we can first find the volume of one cube and then multiply it by the number of cubes to get the total volume.
Edge length of one cube = 1/3 meter
Volume of one cube = (edge length)^3
Volume of one cube = (1/3)^3
Volume of one cube = 1/27 cubic meters
Since there are 10 cubes packed inside the right rectangular prism, the total volume of the cubes will be:
Total volume = 10 * Volume of one cube
Total volume = 10 * 1/27
Total volume = 10/27 cubic meters
Therefore, the volume of the right rectangular prism packed with 10 cubes, each with an edge length of 1/3 meter, is 10/27 cubic meters.
Edge length of one cube = 1/3 meter
Volume of one cube = (edge length)^3
Volume of one cube = (1/3)^3
Volume of one cube = 1/27 cubic meters
Since there are 10 cubes packed inside the right rectangular prism, the total volume of the cubes will be:
Total volume = 10 * Volume of one cube
Total volume = 10 * 1/27
Total volume = 10/27 cubic meters
Therefore, the volume of the right rectangular prism packed with 10 cubes, each with an edge length of 1/3 meter, is 10/27 cubic meters.
Multiply the edge lengths of a right rectangular prism with length 1/2m, width 1/4m, and height 5/4m to show that the product is the same as the volume found by packing the prism with 10 unit cubes with an edge length of 1/4m. What is the volume of the prism?
Given a right rectangular prism with:
Length = 1/2 m
Width = 1/4 m
Height = 5/4 m
To find the volume of the prism, we multiply the length, width, and height:
Volume = Length x Width x Height
Volume = (1/2) x (1/4) x (5/4)
Volume = 5/32 cubic meters
Now, let's calculate the volume found by packing the prism with 10 unit cubes with an edge length of 1/4 m:
The volume of one unit cube with an edge length of 1/4 m is:
Volume of one unit cube = (1/4)^3 = 1/64 cubic meters
Since there are 10 cubes packed inside the prism, the total volume will be:
Total volume = 10 x Volume of one unit cube
Total volume = 10 x 1/64
Total volume = 10/64 = 5/32 cubic meters
Therefore, the product of the edge lengths of the rectangular prism and the volume found by packing it with 10 unit cubes is the same (5/32 cubic meters), as expected.
Length = 1/2 m
Width = 1/4 m
Height = 5/4 m
To find the volume of the prism, we multiply the length, width, and height:
Volume = Length x Width x Height
Volume = (1/2) x (1/4) x (5/4)
Volume = 5/32 cubic meters
Now, let's calculate the volume found by packing the prism with 10 unit cubes with an edge length of 1/4 m:
The volume of one unit cube with an edge length of 1/4 m is:
Volume of one unit cube = (1/4)^3 = 1/64 cubic meters
Since there are 10 cubes packed inside the prism, the total volume will be:
Total volume = 10 x Volume of one unit cube
Total volume = 10 x 1/64
Total volume = 10/64 = 5/32 cubic meters
Therefore, the product of the edge lengths of the rectangular prism and the volume found by packing it with 10 unit cubes is the same (5/32 cubic meters), as expected.
What is the volume of a rectangular prism with a length of 4 2/3ft., a height of 3 1/3ft., and a width of 2 1/2ft.?
To find the volume of a rectangular prism, you multiply the length, width, and height of the prism.
Given:
Length = 4 2/3 ft (or 14/3 ft)
Height = 3 1/3 ft (or 10/3 ft)
Width = 2 1/2 ft (or 5/2 ft)
Volume = Length x Width x Height
Volume = (14/3) ft x (5/2) ft x (10/3) ft
Volume = (14/3) x (5/2) x (10/3)
Volume = (14 x 5 x 10) / (3 x 2 x 3)
Volume = 700 / 18
Volume ≈ 38.89 cubic feet
Therefore, the volume of the rectangular prism is approximately 38.89 cubic feet.
Given:
Length = 4 2/3 ft (or 14/3 ft)
Height = 3 1/3 ft (or 10/3 ft)
Width = 2 1/2 ft (or 5/2 ft)
Volume = Length x Width x Height
Volume = (14/3) ft x (5/2) ft x (10/3) ft
Volume = (14/3) x (5/2) x (10/3)
Volume = (14 x 5 x 10) / (3 x 2 x 3)
Volume = 700 / 18
Volume ≈ 38.89 cubic feet
Therefore, the volume of the rectangular prism is approximately 38.89 cubic feet.
___ ft.^3
So, the volume of the rectangular prism is approximately 38.89 cubic feet, which is written as 38.89 ft^3.
In cubic feet, what is the volume of a toy box measuring 3 3/4 feet long, 2 1/2 feet wide, and 2 1/2 feet tall? Use the volume formula to solve. The answer will be a mixed fraction in cubic feet.
___ ft.^3
___ ft.^3
Given:
Length = 3 3/4 feet (or 15/4 feet)
Width = 2 1/2 feet (or 5/2 feet)
Height = 2 1/2 feet (or 5/2 feet)
Using the volume formula: Volume = Length x Width x Height
Substitute the values:
Volume = (15/4) feet x (5/2) feet x (5/2) feet
Volume = (15/4) x (5/2) x (5/2)
Calculating the volume:
Volume = (15 x 5 x 5) / (4 x 2 x 2)
Volume = 375 / 16
Expressing the volume as a mixed fraction:
375 ÷ 16 = 23 with a remainder of 7
Therefore, the volume of the toy box is 23 7/16 ft^3.
Length = 3 3/4 feet (or 15/4 feet)
Width = 2 1/2 feet (or 5/2 feet)
Height = 2 1/2 feet (or 5/2 feet)
Using the volume formula: Volume = Length x Width x Height
Substitute the values:
Volume = (15/4) feet x (5/2) feet x (5/2) feet
Volume = (15/4) x (5/2) x (5/2)
Calculating the volume:
Volume = (15 x 5 x 5) / (4 x 2 x 2)
Volume = 375 / 16
Expressing the volume as a mixed fraction:
375 ÷ 16 = 23 with a remainder of 7
Therefore, the volume of the toy box is 23 7/16 ft^3.
Using the formula V = B * h, what is the volume of a rectangular prism with a length of 7 1/4m, a width pf 10 1/2m, and a height of 12 2/5m? Your answer should be a mixed number in simplest form.
___ m^3
___ m^3
Given:
Length = 7 1/4 m (or 29/4 m)
Width = 10 1/2 m (or 21/2 m)
Height = 12 2/5 m (or 62/5 m)
Using the formula for the volume of a rectangular prism: V = B * h
Substitute the values:
Volume = (29/4) m * (21/2) m * (62/5) m
Calculating the volume:
Volume = (29 * 21 * 62) / (4 * 2 * 5)
Volume = 116226 / 40
Expressing the volume as a mixed number in simplest form:
116226 ÷ 40 = 2905 with a remainder of 26
Therefore, the volume of the rectangular prism is 2905 26/40 m^3. Simplifying the fraction:
2905 26/40 m^3 = 2905 13/20 m^3
Therefore, the volume of the rectangular prism is 2905 13/20 m^3.
Length = 7 1/4 m (or 29/4 m)
Width = 10 1/2 m (or 21/2 m)
Height = 12 2/5 m (or 62/5 m)
Using the formula for the volume of a rectangular prism: V = B * h
Substitute the values:
Volume = (29/4) m * (21/2) m * (62/5) m
Calculating the volume:
Volume = (29 * 21 * 62) / (4 * 2 * 5)
Volume = 116226 / 40
Expressing the volume as a mixed number in simplest form:
116226 ÷ 40 = 2905 with a remainder of 26
Therefore, the volume of the rectangular prism is 2905 26/40 m^3. Simplifying the fraction:
2905 26/40 m^3 = 2905 13/20 m^3
Therefore, the volume of the rectangular prism is 2905 13/20 m^3.
A preschool is shopping for sand for its sandbox. Box A is 9 inches wide by 13 inches long by 15 inches high. Box B is 6 inches wide by 12 inches long by 20 inches high. Which box had more sand? Apply the formula V = B * h to solve. Show your work.
To determine which box had more sand, we will calculate the volumes of Box A and Box B using the formula V = B * h, where V is the volume, B is the base area, and h is the height.
For Box A:
Width = 9 inches
Length = 13 inches
Height = 15 inches
Base area (B) = Width * Length = 9 * 13 = 117 square inches
Volume (V) = Base area * Height = 117 * 15 = 1755 cubic inches
For Box B:
Width = 6 inches
Length = 12 inches
Height = 20 inches
Base area (B) = Width * Length = 6 * 12 = 72 square inches
Volume (V) = Base area * Height = 72 * 20 = 1440 cubic inches
Comparing the volumes:
Volume of Box A: 1755 cubic inches
Volume of Box B: 1440 cubic inches
Therefore, Box A had more sand than Box B. Box A had a volume of 1755 cubic inches, while Box B had a volume of 1440 cubic inches.
For Box A:
Width = 9 inches
Length = 13 inches
Height = 15 inches
Base area (B) = Width * Length = 9 * 13 = 117 square inches
Volume (V) = Base area * Height = 117 * 15 = 1755 cubic inches
For Box B:
Width = 6 inches
Length = 12 inches
Height = 20 inches
Base area (B) = Width * Length = 6 * 12 = 72 square inches
Volume (V) = Base area * Height = 72 * 20 = 1440 cubic inches
Comparing the volumes:
Volume of Box A: 1755 cubic inches
Volume of Box B: 1440 cubic inches
Therefore, Box A had more sand than Box B. Box A had a volume of 1755 cubic inches, while Box B had a volume of 1440 cubic inches.
1 answer