Question

Find the volume of a pyramid with a square base, where the area of the base is 19.6\text{ cm}^219.6 cm 2 and the height of the pyramid is 12.7\text{ cm}12.7 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answer 1

V = 83.0 cm^3

Explanation:

To find the volume of the squared pyramid you use the following formula:

`V=(1)/(3)Bh` ( 1 )

B: base of the pyramid = 19.6 cm^2

h: height of the pyramid = 12.7 cm

you replace the values of B and h in the equation ( 1 ):

`V=(1)/(3)Bh=(1)/(3)(19.6cm^2)(12.7cm)\\\\V=82.97cm^3\approx 83.0cm^3`

hence, the volume of the pyramid is 83.0 cm^3