Question

This box can be packed with 48 unit cubes. The edge length of each unit cube is 1 meter. What is the volume of the box?

Answer 1

A cube has six faces so 48/6 is the length of one edge.
Volume of a cube is length times breadth times height
so 48/6= 8
A cube has equal length of sides
So 8x8x8= 512cm^3

Answer 2

`48m^(3)`

Explanation:

Total number of unit cubes in box =
`48`

Length of each unit cube
`(a)`=
`1` meter

volume of a cube =
`(length)^(3)`

volume of one cube unit =
`a^(3)`

volume of one cube unit =
`1^(3)`

volume of one cube unit =
`1 m^(3)`\

volume of
`48` unit cubes =
`1*48 = 48m^(3)`

∴ volume of box =
`1*48 = 48m^(3)`