What rectangular prism volume that equals 32 m3

Question

Rectangular prisms of different shapes can have the same volume. These rectangular prisms have different shapes, but the volume of both prisms is 32. Write as many different ses of three numbers that could represent a rectangular prism with the volume as 32.

Answer 1

A rectangular prism is a cuboid with dimensions x, y, z (length, width, height).

So xyz=32. If we only use integers then, since 32=2⁵, we have the following combinations of dimensions:

(1,1,32), (1,2,16), (1,4,8), (2,2,8), (2,4,4). 

If mixed numbers are allowed, there are an infinite number of combinations.