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 ______.

Options

• 1900

• 1920

• 1800

• 1840

Answer 1

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.

Explanation:

Here, dimensions of the plank are length (l) = 4 m,

Breadth (b) = 50 cm = `50/100` m = 0.5 m

And height (h) = 20 cm = `20/100` m = 0.2 m

∴ Volume of the plank = l × b × h

= 4 × 0.5 × 0.2 m³

= 0.4 m³

Also, given that dimensions of the pit are length (l) = 16 m, breadth (b) = 12 m and height (h) = 4 m

∴ Volume of a pit = l × b × h

= (16 × 12 × 4) m³  

∴ Number of planks = `"Volume of the pit"/"Volume of the plank"`

= `(16 xx 12 xx 4)/0.4`

= 16 × 12 × 10

= 1920

Hence, the number of planks is 1920.