If the length, breadth and height of a cube are increased, decreased and increased by 1%, 3% and 2% respectively, then the volume of the solid

Foundation

Mathematics Foundation

Surface Area and Volume

Question

Increases or decreases depending upon the original dimensions

Increased

Decreased

Increase or decrease this cannot be computed with the data available

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Let length, breadth, height be x, y, z respectively
So, volume = xyz
New volume $= \frac{101 x}{100} \times \frac{97 y}{100} \times \frac{102 z}{100}$
= 0.999294xyz
So, volume will be decrease.

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