Question

Geometry

Find the volume of a pyramid with a square base, where the perimeter of the base is 14.5 cm and the height of the pyramid is 16.8 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answer 1

The formula of pyramid:

`(1)/(3) * base * height`

The base of the pyramid would be:
(14.5÷4)^2
=3.625^2
=13.140625cm^2

We can then find the volume:
1/3x13.140625×16.8
=841/192×16.8
=73.5875
≈73.6cm^3

The answer is 73.6 cm^3.

Hope it helps!

Answer 2

If the base is square, and the perimeter is 14.5, that means that each side of the base is 14.5/4=3.625. Since we now know the length and the width, as well as the height which is 16.8, we plug into the formula
`(lwh)/(3)`. So, plug in the details
`(3.625*3.625*16.8)/(3)` Your answer will be 73.6 cm^3