Question

A diamond is cut in the shape of a triangular pyramid. The triangular base of the pyramid has a base of 4 inches and a height of 5 inches. The height of the pyramid is 6 inches. What is the volume of the diamond? (Recall the formula V = one-third B h.)

Answer 1

Aa 20 in3

Explanation:

It is correct

correct on E D G E N U I T Y

Answer 2

The volume of diamond is 20 cubic inches.

Explanation:

We are given the following in the question:

Triangular base:

Base = 4 inches

Height = 5 inches

Height of the pyramid = 6 inches

Area of triangular base =

`A = (1)/(2)* \text{Base}* \text{Height}\\\\A = (1)/(2)* 4* 5\\\\A = 10\text{ square inches}`

Volume of diamond = Volume of pyramid

`V=(1)/(3)* \text{Area of triangular base}* \text{Height}\\\\V=(1)/(3)* 10* 6\\\\V = 20\text{ cubic inches}`

Thus, the volume of diamond is 20 cubic inches.