Question

A square based pyramid has a surface area of 111.6 in2. The sides of the base

of the pyramid measure 4 inches. What is the slant height of the figure?

Answer 1

11.95 in

Explanation:

We can find the slant height of a square-based pyramid by solving the area formula for the unknown value.

__

The formula for the area of a square-based pyramid can be written ...

A = s(s +2h)

where s is the side of the square base, and h is the slant height.

Filling in the given values, we can solve for h:

111.6 = 4(4 +2h)

27.9 = 4 +2h . . . . . divide by 4

13.95 = 2 +h . . . . . divide by 2

11.95 = h . . . . . . . . subtract 2

The slant height of the figure is 11.95 inches.