Question

Find the volume of a pyramid with a square base, where the side length of the base is

Answer 1

Answer:

Volume = 1114.1 $in^3$

Step-by-step explanation:

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

$Volume=\frac{1}{3} \,B\,*\,H$

where B is the area of the pyramid's base (in our case a square of side 12,8 in), and H the pyramid's height (in our case 20.4 in).

Then the square base of the pyramid has an area given by: $(12.8\,\,in)^2=163.84\,\,in^2$

Finally,we can now write the volume of the pyramid as:

$Volume=\frac{1}{3} \,B\,*\,H\\Volume=\frac{1}{3} \,(163.84)\,*\,20.4\,\,in^3\\Volume=1114.112\,\,in^3$

Rounding the answer to a tenth of a cubic inch, we get:

Volume = 1114.1 $in^3$