Find the volume of a pyramid with a square base, where the perimeter of the base is 8.6 cm and the height of the pyramid is 6.1 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answer 1

Hi Dylan B

The question is asking that you look up and manipulate a couple formulas in your text or online.

You can look up the Volume of a Square Pyramid or just the Volume of a Pyramid

You look up the Perimeter of Square for your square base.

Generally speaking since the Volume of a Pyramid is (1/3)*Area of the Base*Height and you have a Square base then the Volume of a square Pyramid is (1/3)* Area of the Square Base*Height

You are given the Perimeter of your Square Base

The Perimeter of a Square = 4s where s is the length of the side

For your Base

Perimeter = 8.6 = 4s

Now just solve for s to get the side

4s = 8.6

s = 8.6/4

s = 2.15

Since we have a square where all the sides are the same we can calculate the area of the base

Area of a Square = s² = (2.15)²

The height of the Pyramid was given as 6.1 cm

Everything can be plugged in

Volume = (1/3)*(2.15)²*6.1

Give that a try if you have any questions please just send a message.