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

Properties of Real Number

Surface Area and Volume

Comparing Quantities

Question

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

Increased

Increase or decrease this cannot be computed with the data available

Increases or decreases depending upon the original dimensions

Decreased

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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.