use the image to answer the question.

An illustration shows a rectangular pyramid with a length of 4 centimeters, a width of 3 centimeters, and a perpendicular height of 12 centimeters. 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?

__ cm^3

8 answers

The volume of a rectangular pyramid is given by the formula:

Volume = (1/3) * base area * height

In this case, the base area of the rectangular pyramid is the area of the rectangle at the base, which is length * width:

Base area = 4 cm * 3 cm = 12 cm^2

Given that the height of the pyramid is 12 cm, we can now calculate the volume:

Volume = (1/3) * 12 cm^2 * 12 cm
Volume = 48 cm^3

Therefore, the volume of the rectangular pyramid is 48 cm^3.
use the image to answer the question.

An illustration shows a square rectangular pyramid with a side length of 16 miles and a perpendicular height of 8 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? round answer to nearest hundredth in decimal form

__ mi.^3
The volume of a square rectangular pyramid can be calculated using the formula:

Volume = (1/3) * base area * height

Since the base of the pyramid is a square with a side length of 16 miles, the base area is:

Base area = side length^2
Base area = 16 miles * 16 miles = 256 mi^2

Given that the height of the pyramid is 8 miles, we can now calculate the volume:

Volume = (1/3) * 256 mi^2 * 8 mi
Volume = 682.67 mi^3

Rounded to the nearest hundredth, the volume of the rectangular pyramid is 682.67 mi^3.
use the image to answer the question.

An illustration shows a rectangular pyramid with a length of 8 millimeters, a width of 5 millimeters, and a perpendicular height of 18 millimeters. 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?

__ mm^3
To find the volume of the rectangular pyramid, we use the formula:

Volume = (1/3) * base area * height

First, we find the base area. In this case, the base is a rectangle with a length of 8 mm and a width of 5 mm:

Base area = length * width
Base area = 8 mm * 5 mm = 40 mm^2

Now, we can plug the base area and height into the formula to find the volume:

Volume = (1/3) * 40 mm^2 * 18 mm
Volume = 240 mm^3

Therefore, the volume of the rectangular pyramid is 240 mm^3.
A crystal perfume bottle is in the shape of a square pyramid. The length of one of the sides of the base is 3 in., and the height of the bottle is 5 in. What is the volume of the bottle?

__ in.^3
To find the volume of a square pyramid, we can use the formula:

Volume = (1/3) * base area * height

First, we need to find the base area of the square pyramid. Since the base is a square with one side measuring 3 inches, the base area is:

Base area = side length^2
Base area = 3 in * 3 in = 9 in^2

Now, we can plug in the base area and the height of the pyramid into the formula to calculate the volume:

Volume = (1/3) * 9 in^2 * 5 in
Volume = (1/3) * 45 in^3
Volume = 15 in^3

Therefore, the volume of the crystal perfume bottle in the shape of a square pyramid is 15 in^3.
A "Caution Wet Floor” warning sign is in the shape of a rectangular pyramid. It is 31 in. tall and has a base whose dimensions are 12 in. by 20 in. What is the volume of the sign?(1 point)
in.3
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