Find the volume of a pyramid with a square base, where the side length of the base is 15.9/text{ cm}15.9 cm and the height of the pyramid is 13.8/text{ cm}13.8 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answer: 1,162.9 cm3

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a square pyramid: 1/3 x base area x height

Where

base area = base side length ^2

Replacing with the value given:

Base area = 15.9^2

base area : 252.81 cm2

Back with the volume formula:

V = 1/3 x base area x height

Replacing with the values given and solving for V (volume)

V = 1/3 x 252.81 x 13.8 = 1,162.9 cubic centimeters

Feel free to ask for more if needed or if you did not understand something.