Question

The right square pyramid represented below has a

base edge of 6 inches and a height of 5 inches.
in
What is the volume in cubic inches of the
pyramid?
HINT: 1. The base is a square, therefore all sides are the same.
2. Multiply all the numbers and then divide by 3 since the formula is V = 1/3 Bh.

Answer 1

The volume of the right square pyramid is 60 cubic inches, if the square pyramid has a base edge of 6 inches and a height of 5 inches.

Explanation:

The given is,

Right square pyramid

Base edge - 6 inches

Height - 5 inches

Step: 1

Formula for volume of right square pyramid,

`V = (1)/(3) Bh`......................(1)

Where, B - Base area

For square base, B =
`a^(2)`

a = Base edge

h - Height of right square pyramid

Step: 2

From the given,

Base edge, a = 6 inches

Base area, B =
`6^(2)` = 36 square inches

Height of square pyramid, h = 5 inches

Equation (1) becomes,

`V = (1)/(3) (36)(5)`

= (0.33333)(36)(5)

= 60

Volume, V = 60 cubic inches

Result:

The volume of the right square pyramid is 60 cubic inches, if the square pyramid has a base edge of 6 inches and a height of 5 inches.