Question

The number of planks of dimensions 4 m × 50 cm × 20 cm that can be stored in a pit which is 16 m long, 12 m wide and 4 m deep is ________.

Answer 1

Volume of the pit = Length × Breadth × Height = 16 m × 12 m × 4 m = 16 m × 1200 cm × 400 cm (1 m = 100 cm)

Volume of each plank = 4 m × 50 cm × 20 cm

∴ Number of planks that can be stored in the pit

$$\begin{gathered} =\frac{\mathrm{Volume}\mathrm{of}\mathrm{the}\mathrm{pit}}{\mathrm{Volume}\mathrm{of}\mathrm{each}\mathrm{plank}} \\ =\frac{16\mathrm{m}\times 1200\mathrm{cm}\times 400\mathrm{cm}}{4\mathrm{m}\times 50\mathrm{cm}\times 20\mathrm{cm}} \\ =1920 \end{gathered}$$

Thus, the number of planks that can be stored in the given pit are 1920.

The number of planks of dimensions 4 m × 50 cm × 20 cm that can be stored in a pit which is 16 m long, 12 m wide and 4 m deep is __1920__.