A cuboidal tank has dimensions: Length = 25cm, Breadth = 20 cm, and Height = 16cm. If the length is increased by 10%, the breadth is decreased by 10%, and the height is increased by 25%,
A cuboidal tank has dimensions: Length = 25cm, Breadth = 20 cm, and Height = 16cm. If the length is increased by 10%, the breadth is decreased by 10%, and the height is increased by 25%, then by what percentage does the volume of the tank change?
एक घनाभीय टैंक के आयाम हैं: लंबाई = 25 सेमी, चौडा़ई = 20 सेमी, और ऊँचाई =16 सेमी। अगर लंबाई में 10% की वृद्धि की जाती है, चौड़ाई में 10% की कमी की जाती है, और ऊँचाई में 25% की वृद्धि की जाती है, तो टैंक का आयतन कितने प्रतिशत बदलेगा?
Detailed Solution & Logic
23.75% increase/ वृद्धि
Original volume change factors:
Length increases by $10% = 1.1$
Breadth decreases by $10% = 0.9$
Height increases by $25% = 1.25$
New volume factor:
$1.1 \times 0.9 \times 1.25 = 1.2375$
Percentage change in volume:
$1.2375 - 1 = 0.2375 = 23.75%$
Volume increases by 23.75 %
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