Question

A box 4 cm by 6 cm by 8 cm is painted on all six faces and then cut into cubes with the 2 cm sides. How many of these cubes have only one side painted?

Answer:

cube (s)

Answer 1

4 Cubes

Explanation:

A box 4 cm by 6 cm by 8 cm is painted on all six faces.

The volume of the box = L × B × W

V = 4 × 6 × 8 = 192 cm³

The box cut into cubes with the 2 cm sides.

Volume of the 2 cm cube = 2 × 2 × 2 = 8 cm³

The number of cubes from the box =
`(192)/(8)`

= 24 cubes

There would be 4 cubes in the middle would be painted only one side.

Periphery cubes of the box are painted on two or more sides.