Question

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

11 in and the height of the pyramid is 15.1 in. Round your answer to the nearest
tenth

Answer 1

53.7 cubic inches

Explanation:

Use the volume formula for a square pyramid:

`V = (1)/(3) (A_{\mathrm{base}} \cdot h)\\\\\mathrm{or} \\\\A = (l^2h)/(3)`

where l is the side length of the base and h is the height of the pyramid.

Now substitute in the given values:

`V = (1)/(3)((11 \, \mathrm{in})^2 \cdot 15.1 \, \mathrm{in})`

`V = (1)/(3)(121 \, \mathrm{in}^2 \cdot 15.1 \, \mathrm{in})`

`V = (1)/(3)(1,821 \, \mathrm{in}^3)`

`V = 53.7 \, \mathrm{in}^3`

So, the volume of the pyramid is 53.7 cubic inches.