Question

There are 39 houses. Each house could hold 1,000 unit cubes that are 1 meter by 1 meter by 1 meter. What are dimensions of a cube house using unit cubes.

Answer 1

The dimension of a cube house is;

Length = 10 units

Width = 10 units

Height = 10 units

Explanation:

Here we have the the number of unit cubes in a house = 1000 unit cubes

The dimension of a cube house is given by the dimensions of a cube which is;

Volume of a cube = Side × Side × Side = Side³

Therefore, where the number of cube in a cube house = 1000 units, we have;

Volume of cube house = 1000 unit cubes = Side³

Size of side =
`\sqrt[3]{Volume}` =
`\sqrt[3]{1000} = 10 \, units`

Therefore, the dimension of a cube house is;

All sides = 10 units or for each side we have;

Length = 10 units

Width = 10 units

Height = 10 units.