Volume of Pyramids Quick Check How many cubic inches does this rectangular pyramid contain? Round answer to the nearest whole number. (1 point)
Responses
1,167 in.3 1,167 in. cubed 1,008 in.3 1,008 in. cubed 336 in.3 336 in. cubed 389 in.3
1,008 in.3
What is the volume of the rectangular pyramid? (1 point)
Responses
144 m3 144 m cubed 480 m3 480 m cubed 559.68 m3 559.68 m cubed 1,440 m3
144 m3
Use the formula for the volume of a rectangular pyramid to find the volume of a pyramid-shaped tent whose height is 75 in., width is 111 in., and length is 111 in. when standing.(1 point)
Responses
33,034.03 in.3 33,034.03 in. cubed 400,000 in.3 400,000 in. cubed 308,025 in.3 308,025 in. cubed 924,075 in.3
To find the volume of a rectangular pyramid, you can use the formula:
Volume = (1/3) * (base area) * height
In this case, the base of the pyramid is a rectangle with length = 111 in. and width = 111 in., so the base area would be:
Base Area = length * width
Base Area = 111 in. * 111 in.
Base Area = 12321 in^2
Now, plug in the values into the formula:
Volume = (1/3) * (12321 in^2) * 75 in.
Volume = (1/3) * 924075 in^3
Volume ≈ 308,025 in^3
Therefore, the correct response is: 308,025 in.3
A cell phone telecommunication tower stands in the shape of a rectangular pyramid. The tower stands 80 m tall and rests on a base that is 15 m by 20 m. What is the volume of the tower?(1 point) Responses 8,000 m3 8,000 m cubed 24,000 m3 24,000 m cubed 12,000 m3 12,000 m cubed 70 m3
To calculate the volume of a rectangular pyramid, you can use the formula:
Volume = (1/3) * base area * height
Given:
Base dimensions: 15 m by 20 m
Height of tower: 80 m
First, calculate the base area:
Base Area = length * width
Base Area = 15 m * 20 m
Base Area = 300 m^2
Now, plug the values into the formula:
Volume = (1/3) * 300 m^2 * 80 m
Volume = (1/3) * 24000 m^3
Volume ≈ 8000 m^3
Therefore, the volume of the tower is approximately 8,000 m^3.
The correct response is: 8,000 m3