Question
Obtain the volume of rectangular boxes with the following length, breadth and height, respectively.
$5 a, 3 a^2, 7 a^4$
$5 a, 3 a^2, 7 a^4$
✓
Answer
We have, length $=5 a$, breadth $=3 a^2$ and height $=7 a^4$
$\therefore \text { Volume of rectangular box } $
$=\text { Length } \times \text { Breadth } \times \text { Height } $
$=(5 a) \times\left(3 a^2\right) \times\left(7 a^4\right) $
$=(5 \times 3 \times 7) \times\left(a \times a^2 \times a^4\right)=105 a^7$
$\therefore \text { Volume of rectangular box } $
$=\text { Length } \times \text { Breadth } \times \text { Height } $
$=(5 a) \times\left(3 a^2\right) \times\left(7 a^4\right) $
$=(5 \times 3 \times 7) \times\left(a \times a^2 \times a^4\right)=105 a^7$
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