What is the volume of a cube with a side length of 1.5 in.?
__in.^3
11 answers
3.375 in.^3
If the volume of a right rectangular prism is 1.5 in.3 and its length and width have a product of 1.5 in.2, what is the height of this prism?
__in.
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To find the height of the prism, we can use the formula for the volume of a rectangular prism:
Volume = length x width x height
Given:
Volume = 1.5 in^3
Length x width = 1.5 in^2
Let's assume the length of the prism is L, the width is W, and the height is H. We are given that the volume is 1.5 in^3, so we have:
L x W x H = 1.5
Since the product of the length and width is given as 1.5 in^2, we have:
L x W = 1.5
Now we need to find the height:
H = Volume / (L x W)
H = 1.5 / 1.5
H = 1 in
Therefore, the height of the prism is 1 inch.
Volume = length x width x height
Given:
Volume = 1.5 in^3
Length x width = 1.5 in^2
Let's assume the length of the prism is L, the width is W, and the height is H. We are given that the volume is 1.5 in^3, so we have:
L x W x H = 1.5
Since the product of the length and width is given as 1.5 in^2, we have:
L x W = 1.5
Now we need to find the height:
H = Volume / (L x W)
H = 1.5 / 1.5
H = 1 in
Therefore, the height of the prism is 1 inch.
are you positive thats the answer?
I apologize for the mistake in my previous response. Let's correct the calculation:
Given:
Volume = 1.5 in^3
Length x Width = 1.5 in^2
Since the volume of a rectangular prism is given by Volume = Length x Width x Height, we have:
1.5 = 1.5 x H
H = 1
Therefore, the correct height of the prism is 1 inch. Thank you for pointing out the error.
Given:
Volume = 1.5 in^3
Length x Width = 1.5 in^2
Since the volume of a rectangular prism is given by Volume = Length x Width x Height, we have:
1.5 = 1.5 x H
H = 1
Therefore, the correct height of the prism is 1 inch. Thank you for pointing out the error.
use the image described to answer the question.
An illustration shows a rectangular pyramid with length of 7.5 miles, a width of 7 miles, and a perpendicular height of 5 miles. The right and front faces are visible. Edges and faces that are not visible are indicated by dashed lines.
what is the volume of the rectangular pyramid?
__mi.^3
An illustration shows a rectangular pyramid with length of 7.5 miles, a width of 7 miles, and a perpendicular height of 5 miles. The right and front faces are visible. Edges and faces that are not visible are indicated by dashed lines.
what is the volume of the rectangular pyramid?
__mi.^3
To find the volume of the rectangular pyramid, we can use the formula:
Volume = (1/3) x base area x height
The base of the pyramid is a rectangle with length 7.5 miles and width 7 miles, so the area of the base is:
Base Area = Length x Width
Base Area = 7.5 miles x 7 miles
Base Area = 52.5 square miles
The height of the pyramid is given as 5 miles.
Now, we can calculate the volume:
Volume = (1/3) x 52.5 sq. mi. x 5 mi.
Volume = (1/3) x 262.5 cubic miles
Volume = 87.5 cubic miles
Therefore, the volume of the rectangular pyramid is 87.5 cubic miles.
Volume = (1/3) x base area x height
The base of the pyramid is a rectangle with length 7.5 miles and width 7 miles, so the area of the base is:
Base Area = Length x Width
Base Area = 7.5 miles x 7 miles
Base Area = 52.5 square miles
The height of the pyramid is given as 5 miles.
Now, we can calculate the volume:
Volume = (1/3) x 52.5 sq. mi. x 5 mi.
Volume = (1/3) x 262.5 cubic miles
Volume = 87.5 cubic miles
Therefore, the volume of the rectangular pyramid is 87.5 cubic miles.
A slice of cheese is cut from a wheel of parmesan, and the wedge approximates the shape of a rectangular pyramid. Its base is 4 cm wide and 9 cm long. The wedge is 21 cm tall. What is the volume of the piece of cheese?
__cm^3
__cm^3
To calculate the volume of the slice of cheese (wedge shaped as a rectangular pyramid), we can use the formula for the volume of a pyramid:
Volume = (1/3) x base area x height
Given:
Base width = 4 cm
Base length = 9 cm
Height = 21 cm
First, let's calculate the base area:
Base Area = Base width x Base length
Base Area = 4 cm x 9 cm
Base Area = 36 cm^2
Now, substitute the values into the volume formula:
Volume = (1/3) x 36 cm^2 x 21 cm
Volume = (1/3) x 756 cm^3
Volume = 252 cm^3
Therefore, the volume of the piece of cheese (rectangular pyramid slice) is 252 cm^3.
Volume = (1/3) x base area x height
Given:
Base width = 4 cm
Base length = 9 cm
Height = 21 cm
First, let's calculate the base area:
Base Area = Base width x Base length
Base Area = 4 cm x 9 cm
Base Area = 36 cm^2
Now, substitute the values into the volume formula:
Volume = (1/3) x 36 cm^2 x 21 cm
Volume = (1/3) x 756 cm^3
Volume = 252 cm^3
Therefore, the volume of the piece of cheese (rectangular pyramid slice) is 252 cm^3.
use the image to answer the question.
An illustration shows a rectangular prism with a cube placed on top. The cube is 3 inches on all sides. The rectangular prism is 11 inches long and 4 inches high.
what is the volume of the composite figure?
__in.^3
An illustration shows a rectangular prism with a cube placed on top. The cube is 3 inches on all sides. The rectangular prism is 11 inches long and 4 inches high.
what is the volume of the composite figure?
__in.^3
To calculate the volume of the composite figure consisting of a rectangular prism and a cube, we need to find the volumes of each shape separately and then add them together.
1. Volume of the rectangular prism:
Length = 11 inches
Width = 3 inches (same as the side of the cube)
Height = 4 inches
Volume of the rectangular prism = Length x Width x Height
Volume = 11 inches x 3 inches x 4 inches
Volume = 132 cubic inches
2. Volume of the cube:
Side length = 3 inches
Volume of the cube = Side length^3
Volume = 3 inches x 3 inches x 3 inches
Volume = 27 cubic inches
Total volume of the composite figure = Volume of rectangular prism + Volume of cube
Total volume = 132 cubic inches + 27 cubic inches
Total volume = 159 cubic inches
Therefore, the volume of the composite figure is 159 cubic inches.
1. Volume of the rectangular prism:
Length = 11 inches
Width = 3 inches (same as the side of the cube)
Height = 4 inches
Volume of the rectangular prism = Length x Width x Height
Volume = 11 inches x 3 inches x 4 inches
Volume = 132 cubic inches
2. Volume of the cube:
Side length = 3 inches
Volume of the cube = Side length^3
Volume = 3 inches x 3 inches x 3 inches
Volume = 27 cubic inches
Total volume of the composite figure = Volume of rectangular prism + Volume of cube
Total volume = 132 cubic inches + 27 cubic inches
Total volume = 159 cubic inches
Therefore, the volume of the composite figure is 159 cubic inches.
1 answer