All the edges of a regular square pyramid have length 8. What is the: Volume of the pyramid?

Question

All the edges of a regular square pyramid have length 8. What is the: Volume of the pyramid?

Answer 1

Hi Sada S.

What are the units for the edge of your pyramid?

Please see below

There are several ways to calculate the volume of a square pyramid, you can look them up in your text and online:

They include

Using the Area of the Base times the height

V = (1/3)lwh

If the base is a square all sides, s are equal then area of the base is s²

V =(1/3)s²h

Your pyramid reads like a Johnson Solid (Equilateral Square Pyramid) that you can also look up, the formulas below would apply

h = (1/√2)*l

A = (1 + √3√)*l²

V = (√2/6)*l³

Determine what kind of pyramid you have check out the formulas to see which applies, calculate the height if necessary, then using the correct formula determine your volume.

For example if you are sure you have a Johnson Solid then

V = (√2/6)*8³ = 120.68