Question

An ice-cream brick measures 20 cm by 10 cm by 7 cm. How many such bricks can be stored in deep fridge whose inner dimensions are 100 cm by 50 cm by 42 cm?

Answer 1

$$\begin{gathered} \mathrm{Dimension}\mathrm{of}\mathrm{an}\mathrm{ice}\mathrm{cream}\mathrm{brick}=20\mathrm{cm}\times 10\mathrm{cm}\times 7\mathrm{cm} \\ \mathrm{Its}\mathrm{volume}=\mathrm{length}\times \mathrm{breadth}\times \mathrm{height}=(20\times 10\times 7){\mathrm{cm}}^3=1400{\mathrm{cm}}^3 \\ \mathrm{Also},\mathrm{it}\mathrm{is}\mathrm{given}\mathrm{that}\mathrm{the}\mathrm{inner}\mathrm{dimension}\mathrm{of}\mathrm{the}\mathrm{deep}\mathrm{fridge}\mathrm{is}100\mathrm{cm}\times 50\mathrm{cm}\times 42\mathrm{cm}. \\ \mathrm{Its}\mathrm{volume}=\mathrm{length}\times \mathrm{breadth}\times \mathrm{height}=(100\times 50\times 42){\mathrm{cm}}^3=210000{\mathrm{cm}}^3 \\ \therefore \mathrm{The}\mathrm{number}\mathrm{of}\mathrm{ice}\mathrm{cream}\mathrm{bricks}\mathrm{that}\mathrm{can}\mathrm{be}\mathrm{stored}\mathrm{in}\mathrm{the}\mathrm{fridge}=\frac{\mathrm{volume}\mathrm{of}\mathrm{the}\mathrm{fridge}}{\mathrm{volume}\mathrm{of}\mathrm{an}\mathrm{ice}\mathrm{cream}\mathrm{brick}}=\frac{210000{\mathrm{cm}}^3}{1400{\mathrm{cm}}^3}=150 \end{gathered}$$