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 = [tex]\mathrm{L}^{3}[/tex]
Volume of small cube = [tex]v^{3}[/tex]
According to the given problem, Volume of giant cube must be equal to 1000 small cubes volume.
[tex]\mathrm{L}^{3}=1000 \mathrm{v}^{3}[/tex]
Apply cube root on both sides
[tex]\sqrt[3]{L^{3}}=\sqrt[3]{1000 \times v^{3}}[/tex]
[tex]\sqrt[3]{L^{3}}=\sqrt[3]{(10 v)^{3}}[/tex]
[tex]\sqrt[3]{L^{3}} = \sqrt[3]{(10 v)^{3}}[/tex]
[tex]\mathrm{L}=10v[/tex]
From above equation we can say that along side of each edge of a giant cube there are 10 small cubes.
