Question

What is the length of the edge of a cube of volume 1000 $cm^3$?

Answer 1

Hint: To answer the length of an edge of a square we will use the given condition to calculate it. Here in this problem volume is given so just use the formula of volume of the cube and equate it with the given value of the volume of the cube.

Complete step-by-step answer:
Given there is a cube of volume 1000 $cm^3$
As shown in the diagram of edge length a
 

We know that the volume of a cube of edge length a is ${a^3}$
Here we just equate this formula value of volume to the given value we get,
⇒1000 $cm^3$ =${a^3}$
We can write 1000 as \[10 \times 10 \times 10\]
So,
\[ \Rightarrow {a^3} = 1000 = 10 \times 10 \times 10\]
∴\[a = 10\] cm
Hence the length of the edge or side of the cube is 10 cm
So, the correct answer is “10 cm”.

Note: We can also find out the side of the cube with the given data of surface area of a surface of the cube or the total surface area of the cube means sum of all the area of all the surfaces in the same manner.