Question

A cuboidal block of silver is 9 cm long, 4 cm broad and 3.5 cm in height. From it, beads of volume 1.5 cm³ each are to be made. Find the number of beads that can be made from the block.

Answer 1

$$\begin{gathered} \mathrm{Length}\mathrm{of}\mathrm{the}\mathrm{cuboidal}\mathrm{block}\mathrm{of}\mathrm{silver}=9\mathrm{cm} \\ \mathrm{Breadth}=4\mathrm{cm} \\ \mathrm{Height}=3.5\mathrm{cm} \\ \mathrm{Now},\mathrm{volume}\mathrm{of}\mathrm{the}\mathrm{cuboidal}\mathrm{block}=\mathrm{length}\times \mathrm{breadth}\times \mathrm{height} \\ =9\times 4\times 3.5 \\ =126{\mathrm{cm}}^3 \\ \therefore \mathrm{The}\mathrm{required}\mathrm{number}\mathrm{of}\mathrm{beads}\mathrm{of}\mathrm{volume}1.5{\mathrm{cm}}^3\mathrm{that}\mathrm{can}\mathrm{be}\mathrm{made}\mathrm{from}\mathrm{the}\mathrm{block}=\frac{\mathrm{volume}\mathrm{of}\mathrm{the}\mathrm{silver}\mathrm{block}}{\mathrm{volume}\mathrm{of}\mathrm{one}\mathrm{bead}} \\ =\frac{126{\mathrm{cm}}^3}{1.5{\mathrm{cm}}^3} \\ =84 \end{gathered}$$