Select the correct answerIf each edge of a cube is increased by 20%, find the percentage increase in its volume.Options68.860.888.8
Question
Solution 1
The volume of a cube is given by the formula V = a^3, where a is the length of an edge.
If each edge of the cube is increased by 20%, the new edge length is 1.20a.
The new volume V' is then (1.20a)^3 = 1.728a^3.
The increase in volume is V' - V = 1.728a^3 - a^3 = 0.728a^3.
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