Question

A small rectangular prism has a length of 5 inches, a width of 4 inches, and a volume of 100 cubic inches. A large rectangular prism also has a length of 5 inches and a width of 4 inches, but its volume is 200 cubic inches.
How much taller is the large prism than the small prism?

Answer 1

Step-by-step explanation:

the volume of a prism is

length × width × height

so, for the small prism we have

5 × 4 × height = 100 in³

height = 100/20 = 5 in

for the large prism we have

5 × 4 × height = 200 in³

height = 200/20 = 10 in

the larger prism is 10/5=2 times taller than the small prism.