Question

What is the volume of a square pyramid whose length of one side of its base is 9cm and whose height is 15cm. Show your work

Answer 1

The answer is 405cm³

Explanation:

Volume of a pyramid is given by

`V = (1)/(3) * area \: of \: base \: \: * height`

height = 15cm

From the question the pyramid is a square pyramid which means it's base is a square

Area of a square = l²

where l is the length of one side

l = 9cm

Area of square = 9² = 81cm²

So the volume of the pyramid is

`V = (1)/(3) * 81 * 15`

`V = 27 * 15`

We have the final answer as

V = 405 cm³

Therefore the volume of the pyramid is

405cm³

Hope this helps you