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ICSE Class 7 Physics Question 8 of 18

Physical Quantities and Measurement — Question 11

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Question

Question 11

A block of iron has dimensions 2 m x 0.5 m x 0.25 m. The density of iron is 7.8 g cm-3. Find the mass of the block.

Answer

Density of iron = 7.8 g cm-3
1 g cm-3 = 1000 kg m-3
7.8 g cm-3 = 7.8 x 1000 = 7800 kg m-3

Volume of iron = 2 m x 0.5 m x 0.25 m = 0.25 m3

Mass = ?

Density=MassVolume7800=Mass0.25Mass=7800×0.25=1950kg\text{Density} = \dfrac{\text{Mass}}{\text{Volume}} \\[1em] \text{7800} = \dfrac{\text{Mass}}{\text{0.25}} \\[1em] \text{Mass} = 7800 \times 0.25 = 1950 \text{kg}

So, mass of iron = 1950 kg.