Question

A right rectangular prism has a volume of 48 ft3. Which of the following could not be the dimensions of the prism?

l = 2 ft, w = 2 ft, h = 12 ft
l = 2 ft, w = 4 ft, h = 6 ft
l = 3 ft, w = 2 ft, h = 8 ft
l = 4 ft, w = 3 ft, h = 3 ft

Answer 1

l = 4 ft, w = 3 ft, h = 3 ft

Explanation:

did the test

Answer 2

For a rectangular prism, V = lwh.
First choice: 2*2*12 = 48, so this is possible.
Second choice: 2*4*6 = 48, so this is possible.
Third choice: 3*2*8 = 48, so this is also possible.
Fourth choice: 4*3*3 = 36, so these cannot be the dimensions of the prism.

The fourth choice is the correct answer.