Question

A pyramid's with a square base has a height is 8 cm. A side of its square base is 4 1 2 cm

Answer 1

The question is incomplete. Here is the complete question:

A pyramid's with a square base has a height is 8 cm. A side of its square base is 4 1/2 cm. What is the volume of the square pyramid?

Answer:

The volume of the square pyramid is 54 cm³.

Explanation:

Given:

Height of the pyramid (h) = 8 cm

Base side (a) =
`4(1)/(2)=4.5` cm

We know that, a square pyramid has a square base with all the sides of the base equal to each other.

The volume (V) of the square pyramid is given as:

`V=(1)/(3)a^2h`

Plug in 8 for 'h', 4.5 for 'a' and solve for 'V'. This gives,

`V=(1)/(3)* (4.5)^2* 8\\\\V=(1)/(3)* 20.25* 8\\\\V=(1)/(3)* 162\\\\V=(162)/(3)\\\\V=54\ cm^3`

Therefore, the volume of the square pyramid is 54 cm³.