Question

A sculpture of a gaint cube contains 1000 cubes within it. How many smaller cubes are along each edge of the sculpture

Answer 1

A sculpture of a giant cube contains 1000 cubes within it .Along side of each edge of a giant cube there are 10 small cubes.

SOLUTION:

Given that a giant cube has 1000 cubes in it.

Let , length of the giant cube be L

Length of each small cube be v

Then, volume of giant cube =
`\mathrm{L}^(3)`

Volume of small cube =
`v^(3)`

According to the given problem, Volume of giant cube must be equal to 1000 small cubes volume.

`\mathrm{L}^(3)=1000 \mathrm{v}^(3)`

Apply cube root on both sides

`\sqrt[3]{L^(3)}=\sqrt[3]{1000 * v^(3)}`

`\sqrt[3]{L^(3)}=\sqrt[3]{(10 v)^(3)}`

`\sqrt[3]{L^(3)} = \sqrt[3]{(10 v)^(3)}`

`\mathrm{L}=10v`

From above equation we can say that along side of each edge of a giant cube there are 10 small cubes.