Question

Find the volume of a pyramid with a square base, where the side length of the base is

12.8 in and the height of the pyramid is 20.4 in. Round your answer to the nearest.
tenth of a cubic inch.

Answer 1

Volume = 1114.1
`in^3`

Explanation:

Recall that the formula for the volume of a pyramid is given by:

`Volume=(1)/(3) \,B\,*\,H`

where B is the area of the pyramid's base (in our case a square of side 12,8 in), and H the pyramid's height (in our case 20.4 in).

Then the square base of the pyramid has an area given by:
`(12.8\,\,in)^2=163.84\,\,in^2`

Finally,we can now write the volume of the pyramid as:

`Volume=(1)/(3) \,B\,*\,H\\Volume=(1)/(3) \,(163.84)\,*\,20.4\,\,in^3\\Volume=1114.112\,\,in^3`

Rounding the answer to a tenth of a cubic inch, we get:

Volume = 1114.1
`in^3`