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Maths > Cubes and Cube Roots

Cubes and Cube Roots

Imagine there’s a cardboard box in front of you and you want to know how many of oil containers can it contain. How would you find out? You’d do so by finding out the cube root of its volume. But how do you find a cube root? Let us find out!

FAQ on Cubes and Cube Roots

Question 1: What is the cube root of a number?

Answer: A cube root is a special value that when we multiply three times gives us the desired number. Thus, a perfect cube is a cube of a whole number.

Question 2: State the difference between Square root and Cube root.

Answer: Square root is when we multiply the lowest digit two times to arrive at the number. On the other hand, a cube root is when we multiply the lowest number three times to arrive at the number.

Question 3: What is a perfect cube?

Answer: A perfect cube refers to the integer or a whole number as the cube root. Basically, it is where both of the numbers, the cube root and the value do not have any decimals or fractions. For instance, the cube root 2 and value 8 are whole numbers, we get no decimals or fractions in our final result. Thus, we can safely say that 8 make a perfect cube.

Question 4: What is the volume of a cube?

Answer: We can represent the volume of a cube by length multiplied by breadth by height. And, since l = b = h in the cube, we can represent its side as l = b = h = a. Thus, the volume of the cube will be a3. Over here, ‘a’ refers to the measurement of each side of the cube. Thus, the volume of the cube of side 1cm equal to 1 cm × 1 cm × 1 cm = 1 cm3.

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