Question

A rectangular prism has a volume of 360 in3. If the height measures 4 in., which base measurements could the prism have? 4 in. by 20 in. 45 in. by 45 in. 6 in. by 15 in. 5 in. by 19 in.

Answer 1

V = 360 in³
Let Ab = area of the base
h = 4 in


V = Ab × h

360 = Ab × 4

Ab = 360 ÷ 4

Ab = 90 in²


Ab = l × w
The product of the base measurements must be 90.
90 = l × w

⇒ 6 in × 15 in = 90 in² ⇒ The base measurements could be: 6 in by 15 in