Question

Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B has a volume of 3,456 cubic inches. How many times bigger is the volume of pyramid B than pyramid A

Answer 1

Answer:

9 times bigger than A

Step-by-step explanation:

To know how big pyramid B is compared to A we need to solve for the volume of pyramid A and compare it with B

The expression for the volume of a square based pyramid is

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

Given that

sides, a= 12 inches

height , h= 8 inches

Substitution into the expression we have

$V=\frac{12^2*8}{3} \\\\V=\frac{144*8}{3} \\\\V=\frac{1152}{3} \\\\V= 384 in^3$

The volume of the square based pyramid is 384 in^3

to solve for the number of times Pyramid B is bigger than A we need to divide the volume of B by A

= 3456/384= 9

Hence pyramid B is 9 times bigger than A