Volume of Pyramids Quick Check
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Question
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
924,075 in.3
924,075 in. cubed
400,000 in.3
400,000 in. cubed
308,025 in.3
The correct answer is 33,034.03 in.3 or 33,034.03 in. cubed.
To calculate the volume of a rectangular pyramid, you can use the formula V = (1/3) * b * h, where b is the area of the base and h is the height of the pyramid.
In this case, the base of the pyramid is a rectangle with dimensions 111 in. and 111 in., so the area of the base is 111 * 111 = 12,321 in^2.
Now, plug in the values into the formula: V = (1/3) * 12,321 * 75 = 33,034.03 in^3.