Answer:
Volume = length * width * depth
= 3a^6 * a^2 * b^4
= 3a^(6+2)b^4
= 3a^8b^4 cubic units Answer.
Step-by-step explanation:
The exponents 6 and 2 are added when the terms are multiplied
Swimming pool is generally build as a cuboid.
Volume of cuboid refers to the measurement of the space in the cuboid. It is the product of length, breadth and height of the cuboid.
Therefore the formula to calculate volume of cuboid will be:
[tex]\rm Volume\:of\:cuboid = \rm length\times breadth \times height[/tex]
The volume of the pool will be [tex]\rm 3a^8 b^4[/tex].
To reach the above answer, following calculations are required:
Given:
Dimensions of the pool:
[tex]\begin{aligned} \rm Length &= 3a^6\\\rm Breadth &= a^2\\\rm Height &= b^4\end[/tex]
Therefore, volume of pool will be as follows:
[tex]\begin{aligned} \rm Volume\:of\:cuboid &= \rm length\times breadth \times height\\&= 3a^6 \times a^2 \times b^4 \\&= 3a^{6+2}b^4\\&= 3a^8b^4 \end[/tex]
Volume of pool = [tex]\rm 3a^8b^4[/tex]
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