Question
The sides of a cuboid are in the ratio 1:2:4. If its volume
is 1728 cm³, find the sum of its dimensions.Solution
ATQ,
Let the dimensions be x cm, 2x cm, and 4x cm respectively
According to the question,
x × 2x × 4x = 1728
Or, 8x³ = 1728
Or, x³ = 216
Or, x = 6
Therefore, sum of dimensions = x + 2x + 4x = 7x = 42 cm
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