To find the volume of the composite figure, we need to calculate the volume of each rectangular prism and then add them together.
Volume of the side prisms:
Volume = length x width x height
Volume = 16 in x 7 in x 7 in = 784 in^3
There are two side prisms, so the total volume of the side prisms = 2 x 784 in^3 = 1568 in^3
Volume of the center prism:
Volume = length x width x height
Volume = 8 in x 10 in x 7 in = 560 in^3
Now, we can find the total volume of the composite figure:
Total volume = volume of side prisms + volume of center prism
Total volume = 1568 in^3 + 560 in^3
Total volume = 2128 in^3
Therefore, the volume of the composite figure is 2128 in^3.
use the image to answer the question.
An illustration shows an inverted U-shaped structure made up of three rectangular prisms. Two identical rectangular prisms are placed on either side of a center rectangular prism. The side prisms are 16 inches long, 7 inches wide, and 7 inches high. The prism placed in between the two rectangles is 8 inches wide and 10 inches long.
what is the volume of the composite figure?
__ in.^3
11 answers
use the image to answer the question.
An illustration shows a center-pedestal type table with the table top placed on vertical rectangular block that has a rectangular base. The table top length and width are 30 inches, with a depth of 2 inches. The height of the rectangular block pedestal is 25 inches, and the width and length are 8 inches each. The length and width of the rectangular base are 12 inches each, and the height is 4 inches. The table top has a checkerboard pattern.
what is the volume of the table?
_in.^3
An illustration shows a center-pedestal type table with the table top placed on vertical rectangular block that has a rectangular base. The table top length and width are 30 inches, with a depth of 2 inches. The height of the rectangular block pedestal is 25 inches, and the width and length are 8 inches each. The length and width of the rectangular base are 12 inches each, and the height is 4 inches. The table top has a checkerboard pattern.
what is the volume of the table?
_in.^3
To find the volume of the table, we need to calculate the volumes of the table top, rectangular block pedestal, and the rectangular base separately, and then add them together.
Volume of the table top:
Volume = length x width x depth
Volume = 30 in x 30 in x 2 in = 1800 in^3
Volume of the rectangular block pedestal:
Volume = length x width x height
Volume = 8 in x 8 in x 25 in = 1600 in^3
Volume of the rectangular base:
Volume = length x width x height
Volume = 12 in x 12 in x 4 in = 576 in^3
Now, we can find the total volume of the table:
Total volume = volume of table top + volume of rectangular block pedestal + volume of rectangular base
Total volume = 1800 in^3 + 1600 in^3 + 576 in^3
Total volume = 3976 in^3
Therefore, the volume of the table is 3976 in^3.
Volume of the table top:
Volume = length x width x depth
Volume = 30 in x 30 in x 2 in = 1800 in^3
Volume of the rectangular block pedestal:
Volume = length x width x height
Volume = 8 in x 8 in x 25 in = 1600 in^3
Volume of the rectangular base:
Volume = length x width x height
Volume = 12 in x 12 in x 4 in = 576 in^3
Now, we can find the total volume of the table:
Total volume = volume of table top + volume of rectangular block pedestal + volume of rectangular base
Total volume = 1800 in^3 + 1600 in^3 + 576 in^3
Total volume = 3976 in^3
Therefore, the volume of the table is 3976 in^3.
use the image to answer the question.
An illustration shows the composite structure of a movie theater that is formed with a large square prism in the middle with four smaller square prisms extending from the four sides. The entire structure is 20 meters in height. The square prism in the center measures 44 meters on each side. The smaller square prisms extend outward from the center of each side. The smaller square prisms are 15 meters on each side. A sign labeled Movies sits on the top of the structure.
what is the volume of the movie theater
__m^3
An illustration shows the composite structure of a movie theater that is formed with a large square prism in the middle with four smaller square prisms extending from the four sides. The entire structure is 20 meters in height. The square prism in the center measures 44 meters on each side. The smaller square prisms extend outward from the center of each side. The smaller square prisms are 15 meters on each side. A sign labeled Movies sits on the top of the structure.
what is the volume of the movie theater
__m^3
To find the volume of the movie theater composite structure, we need to calculate the volumes of the central large square prism and the four smaller square prisms that are extending from the sides.
Volume of the central large square prism:
Volume = side length x side length x height
Volume = 44 m x 44 m x 20 m
Volume = 38,720 m^3
Volume of each smaller square prism:
Volume = side length x side length x height
Volume = 15 m x 15 m x 20 m
Volume = 4,500 m^3
Since there are four smaller square prisms, the total volume contributed by the smaller square prisms is:
Total volume = 4 x 4,500 m^3
Total volume = 18,000 m^3
Now, we can find the total volume of the movie theater composite structure:
Total volume = volume of central large prism + total volume of smaller square prisms
Total volume = 38,720 m^3 + 18,000 m^3
Total volume = 56,720 m^3
Therefore, the volume of the movie theater composite structure is 56,720 m^3.
Volume of the central large square prism:
Volume = side length x side length x height
Volume = 44 m x 44 m x 20 m
Volume = 38,720 m^3
Volume of each smaller square prism:
Volume = side length x side length x height
Volume = 15 m x 15 m x 20 m
Volume = 4,500 m^3
Since there are four smaller square prisms, the total volume contributed by the smaller square prisms is:
Total volume = 4 x 4,500 m^3
Total volume = 18,000 m^3
Now, we can find the total volume of the movie theater composite structure:
Total volume = volume of central large prism + total volume of smaller square prisms
Total volume = 38,720 m^3 + 18,000 m^3
Total volume = 56,720 m^3
Therefore, the volume of the movie theater composite structure is 56,720 m^3.
The volume of a right circular cylinder is 27,355.68 mm3 . Find the height of the cylinder if the radius is 22 mm. Use 3.14 for π.
The formula to calculate the volume of a right circular cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given:
Volume (V) = 27355.68 mm^3
Radius (r) = 22 mm
π = 3.14
Substitute the given values into the formula and solve for the height (h):
27355.68 = 3.14 * 22^2 * h
27355.68 = 3.14 * 484 * h
27355.68 = 1521.56 * h
Now, divide both sides by 1521.56 to solve for h:
h = 27355.68 / 1521.56
h ≈ 18 mm
Therefore, the height of the cylinder is approximately 18 mm.
Given:
Volume (V) = 27355.68 mm^3
Radius (r) = 22 mm
π = 3.14
Substitute the given values into the formula and solve for the height (h):
27355.68 = 3.14 * 22^2 * h
27355.68 = 3.14 * 484 * h
27355.68 = 1521.56 * h
Now, divide both sides by 1521.56 to solve for h:
h = 27355.68 / 1521.56
h ≈ 18 mm
Therefore, the height of the cylinder is approximately 18 mm.
Michealla has 20 cans of tomato sauce with a combined volume of 12,057.6 inches^3 . If each can has a radius of 4 inches, find the height of 1 can. Use 3.14 for π.
The formula to calculate the volume of a right circular cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given:
Total volume of 20 cans = 12,057.6 inches^3
Radius (r) = 4 inches
π = 3.14
First, we need to find the volume of one can:
Volume of one can = Total volume of 20 cans / 20
Volume of one can = 12,057.6 inches^3 / 20
Volume of one can = 602.88 inches^3
Now, we have the volume of one can and the radius. We can calculate the height of one can using the volume formula:
602.88 = 3.14 * 4^2 * h
602.88 = 3.14 * 16 * h
602.88 = 50.24 * h
Now, divide both sides by 50.24 to solve for h:
h = 602.88 / 50.24
h ≈ 12 inches
Therefore, the height of one can is approximately 12 inches.
Given:
Total volume of 20 cans = 12,057.6 inches^3
Radius (r) = 4 inches
π = 3.14
First, we need to find the volume of one can:
Volume of one can = Total volume of 20 cans / 20
Volume of one can = 12,057.6 inches^3 / 20
Volume of one can = 602.88 inches^3
Now, we have the volume of one can and the radius. We can calculate the height of one can using the volume formula:
602.88 = 3.14 * 4^2 * h
602.88 = 3.14 * 16 * h
602.88 = 50.24 * h
Now, divide both sides by 50.24 to solve for h:
h = 602.88 / 50.24
h ≈ 12 inches
Therefore, the height of one can is approximately 12 inches.
Solve the problem. What is the volume of a rectangular pyramid with a base of 200 square meters and a height of 75 meters? Show your work.
The formula to calculate the volume of a rectangular pyramid is V = (1/3) * base area * height.
Given:
Base area = 200 square meters
Height = 75 meters
Substitute the given values into the formula and solve for the volume (V):
V = (1/3) * 200 * 75
V = (1/3) * 15000
V = 5000
Therefore, the volume of the rectangular pyramid is 5000 cubic meters.
Given:
Base area = 200 square meters
Height = 75 meters
Substitute the given values into the formula and solve for the volume (V):
V = (1/3) * 200 * 75
V = (1/3) * 15000
V = 5000
Therefore, the volume of the rectangular pyramid is 5000 cubic meters.
2 answers