Question

Which pyramid has a greater volume, and how much greater is its volume? A rectangular pyramid on the left with a base of 7 inches by 6 inches and height of 3 inches. A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches. The volume of the pyramid on the left is greater by 2 inches cubed. The volume of the pyramid on the left is greater by 6 inches cubed. The volume of the pyramid on the right is greater by 2 inches cubed. The volume of the pyramid on the right is greater by 6 inches cubed

Answer 1

The volume of the pyramid on the left is greater by 8 inches cubed

We have given that,

A rectangular pyramid on the left with a base of 7 inches by 6 inches and a height of 3 inches.

A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches.

The volume of the pyramid on the left is greater by 2 inches cubed. The volume of the pyramid on the left is greater by 6 inches cubed.

The equation for finding the volume of a pyramid is,

What is the volume of a pyramid?

lwh/3

when you input the values of the two pyramids into this equation you get the left pyramid having a volume of 128 inches cubed and the right pyramid having a volume of 120 inches cubed.

Therefore, 128 - 120 = 8

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