Question

Find the volume of a pyramid with a square base, where the side length of the base is 7.5 cm and the height of the pyramid is 10.2. Round your answer to the nearest tenth of a cubic centimeter

Answer 1

Answer:

The volume  is  191.3 $cm^3$

Step-by-step explanation:

Recall that the formula for the volume of a pyramid is given by the formula:

$Volume=\frac{B\,*H}{3}$

where B is the area of the pyramid's base, and H its height. So, in our case, the base is a square of length 7.5 cm, which gives 56.25 cm^2

Now, we use this value and the height 10.2 cm to find the volume:

$Volume=\frac{B\,*H}{3}\\Volume=\frac{56.25\,*10.2}{3}\\Volume=191.25\,\,cm^3$

which rounded to the nearest tenth is: 191.3 $cm^3$