Question

which has the greater volume: a 4 meter cube or a rectangular solid that that is 8 meters long, 2 meters wide and 2 meters high

Answer 1

The cube has the greater volume.

Explanation:

The volume of a cube is given as:

`V=x^3`

Where
`x` is the measure of 1 side (all sides of a cube are same)

The volume of a rectangular solid is given as:

`V=l*w*h`

Where
`l` is the length,
`w` is the width, and
`h` is the height.

From the problem,

• Volume of cube =
  `(4)^(3)=64` [since each side is given as 4]

• Volume of rectangular solid =
  `8*2*2=32` [the length is given as 8, width is 2, and height is 2]

The cube has the greater volume.