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

ANSWER:

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

$\sqrt[3]{L^{3}}=\sqrt[3]{1000 \times v^{3}}$

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

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

$\mathrm{L}=10v$

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