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Question
The length, breadth and height of a chocolate box are in the ratio 5 : 4 : 3. If its volume is 7500 cm3, then find its dimensions
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Solution
Let the length of a chocolate be 5x, the breadth of a chocolate be 4x, and the height of a chocolate be 3x.
Volume of a chocolate = 7500 cm3
l × b × h = 7500
5x × 4x × 3x = 7500
5 × 4 × 3 × x3 = 7500
x3 = `7500/(5 xx 4 xx 3)`
x3 = 125
⇒ x3 = 53
x = 5
∴ Length of a chocolate = 5 × 5 = 25 cm
Breath of a chocolate = 4 × 5 = 20 cm
Height of a chocolate = 3 × 5 = 15 cm
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