Question
Find the cube of:
$2\frac{2}{5}$
$2\frac{2}{5}$
✓
Answer
We have:
$2\frac{2}{5}=\frac{12}{5}$
Also, $\because\Big(\frac{\text{m}}{\text{n}}\Big)^3=\frac{\text{m}^3}{\text{n}^3}$
$\therefore\Big(\frac{12}{5}\Big)^3$
$=\Big(\frac{12^3}{5^3}\Big)$
$=\frac{12\times12\times12}{5\times5\times5}$
$=\frac{1728}{125}$
$2\frac{2}{5}=\frac{12}{5}$
Also, $\because\Big(\frac{\text{m}}{\text{n}}\Big)^3=\frac{\text{m}^3}{\text{n}^3}$
$\therefore\Big(\frac{12}{5}\Big)^3$
$=\Big(\frac{12^3}{5^3}\Big)$
$=\frac{12\times12\times12}{5\times5\times5}$
$=\frac{1728}{125}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Can there be a temperature-time graph as follows? Justify your answer.
Find the number 'a' if:
$\frac{1}{2}\%$ of a is 50
→$\frac{1}{2}\%$ of a is 50
Fill in the blanks.
Each interior angle of a regular octagon is (_____)°.
Each interior angle of a regular octagon is (_____)°.
Which of the following quantities vary inversely as other?
Journey (x km) undertaken by a car and the petrol (y litres) consumed by it.
Journey (x km) undertaken by a car and the petrol (y litres) consumed by it.
Convert the following percengages to fractions and ration:125%
Evaluate:
$(-4)^3$
→$(-4)^3$
Fill in the blanks.
If each side of a cube is a, then its lateral surface area is ______ sq units.
If each side of a cube is a, then its lateral surface area is ______ sq units.
Write ‘T’ for true and ‘F’ for false for the following:
6% of 8 is 48.
6% of 8 is 48.
Given that $\sqrt{2}=1.414,\sqrt{3}=1.732,\sqrt{5}=2.236$ and $\sqrt{7}=2.646,$ find the square roots of the following:
$\frac{400}{63}$
→$\frac{400}{63}$
Express the following as decimal fractions:
7.5%
7.5%