Question

A right pyramid with a square base is shown. The length of the base is 8 inches and the slant height is 5 inches.

Kabir wants to know the volume of a solid right pyramid with a square base. He uses a ruler to measure the length of the base as 8 inches. He then measures the slant height to be 5 inches.


The hypotenuse of the right triangle used to determine the height is
✔ 5
inches.

The leg of the right triangle that lies on the same plane as the base is
✔ 4
inches.

The height of the pyramid is
✔ 3
inches.

The volume of the solid pyramid is
✔ 64
cubic inches.


( Answer Are Above)... 5, 4, 3, 64

Answer 1

Below in bold.

Explanation:

The given answers are correct.

The hypotenuse is 5 in.

The leg of the right triangle = 8/2 = 4 in

The height of pyramid = √(5^2 -4^2) = 3 in.

Volume = 1/3 * height * area of base

= 1/3* 3 * 8^2

= 64 in^3.