Question

A hexagonal pyramid has a volume of 144 cubic millimeters and a height of 4 millimeters. What is the area of the base of pyramid

Answer 1

Hello!

The answer is:

The area of the base of the pyramid is:

`BaseArea=108mm^(2)`

Why?

We are given the volume and the height of the hexagonal pyramid, so, to calculate the base of the area, we need to use the following formula:

`Volume=(1)/(3)*BaseArea*Height`

So, we are given the following information:

`Volume=144mm^(3)\\\\Height=4mm`

Then, substituting the given information and isolating the base area, we have:

`Volume=(1)/(3)*BaseArea*Height`

`144mm^(3) =(1)/(3)*BaseArea*4mm\\\\144mm^(3)*(3)/(4mm)=BaseArea\\\\BaseArea=108mm^(2)`

Hence, the area of the base of the hexagonal pyramid is equal to:

`BaseArea=108mm^(2)`

Have a nice day!