Question

A rectangular prism has a volume of 360in^3. if the height measures 4in , which base measurements could the prism have?

A.45in. by 45in
B.6in. by 15in
C.5in by 19in
D.4in by 20in

Answer 1

The volume of the prism is the product of the area of its bases and the height.
V = A x h
Substituting the known values,
360 in³ = A x 4 in ; A = 90 in²
Out of all the choices given above, the dimensions of the bases that would give 90 in² as the area is letter B. 6 in by 15 in.