The volumes of the boxes when doubled and tripled are as follows:
How to find the volume of a rectangular prism?
The volume of a rectangular prism can be represented as follows:
volume = lwh
where
- l = length
- w = width
- h = height
Therefore,
volume of the first rectangular prism = 2x × 3x × x = 3x² × 2x = 6x³
volume of the second rectangular prism = x × 2x × 4x = 8x³
The volume of the first box is doubled, hence,
volume = 2(6x³) = 12x³
The volume of the second box is tripled, hence,
volume = 3(8x³) = 24x³
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