Question

Find the volume of a pyramid with a square base, where the perimeter of the base is 17cm and the height of the pyramid is 15cm Round your answer to the nearest tenth of a cubic centimeter.

Answer 1

Answer:

Volume of the Pyramid=$90.31cm^3$

Step-by-step explanation:

The Pyramid have the base in the shape of a square.

Perimeter of the square shaped base= $17 cm$

Length of side(a) of the base$= 17/4=4.25 cm$

$Height=15 cm$

Volume of a square based pyramid:

                                                       = $a^2*\frac{h}{3}$

Putting the values in the formula:

Volume of the pyramid= $4.25*4.25*\frac{15}{3}$

                                    $=4.25*4.25*5\\\\=18.0625*5\\\\=90.31cm^3$

The Volume of the Square based pyramid is $90.31cm^3$