The number of planks of dimensions (4 m × 50 cm × 20 cm) that can be stored in a pit which is 16 m long, 12m wide and 40 m deep is
a. 1900
b. 1920
c. 1800
d. 1840

Solution:

Given, the dimension of a pit is 16m long, 12 m wide and 40 m deep.

The dimension of plank is 4 m × 50 cm × 20 cm

We have to find the number of planks that can be stored in the pit.

Given, length of the plank = 4 m

Width of the plank = 50 cm = 0.5 m

Thickness of the plank = 20 cm = 0.2 m

Volume of the plank = length × width × thickness

= 4 × 0.5 × 0.2

= 4 m³

Given, length of the pit = 16 m

Breadth of the pit = 12 m

Height of the pit = 40 m

Volume of the pit = length × breadth × height

= 16 × 12 × 40

= 16 × 480

= 7680 m³

Number of planks that can be stored in the pit = volume of pit / volume of one plank

= 7680/4

= 1920

Therefore, the number of planks that can be stored is 1920.

✦ Try This: The number of planks of dimensions (3 m × 40 cm × 30 cm) that can be stored in a pit which is 26 m long, 21m wide and 30 m deep is

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 13

NCERT Exemplar Class 9 Maths Exercise 13.1 Problem 8

The number of planks of dimensions (4 m × 50 cm × 20 cm) that can be stored in a pit which is 16 m long, 12m wide and 40 m deep is a. 1900, b. 1920, c. 1800, d. 1840

Summary:

The number of planks of dimensions (4 m × 50 cm × 20 cm) that can be stored in a pit which is 16 m long, 12m wide and 40 m deep is 1920

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