Find the cost of digging a cuboidal pit 8 m long, 6 m broad and 3 m deep at the rate of ₹ 30 per m³.

Solution:

The length, breadth, and depth of the cuboidal pit are 8 m, 6 m, and 3 m respectively. The rate of digging the pit is ₹30 per m³.

We have to find the cost of digging the cuboidal pit.

Since the pit is cuboidal in shape, the volume of the pit will be equal to the volume of the cuboid.

The volume of the cuboid of length l, breadth b, and height h, is l × b × h

We can find the cost of digging the pit by multiplying the volume of the pit and the rate of digging.

Length of the cuboidal pit, l = 8 m

Breadth of the cuboidal pit, b = 6 m

Height of the cuboidal pit, h = 3 m

Volume of the cuboidal pit = l × b × h

= 8m × 6m × 3m

= 144 m³

Thus, the cost of digging the pit at ₹ 30 per m³ = ₹ 30 × 144 = ₹ 4320

☛ Check: NCERT Solutions for Class 9 Maths Chapter 13

Video Solution:

Find the cost of digging a cuboidal pit 8 m long, 6 m broad and 3 m deep at the rate of ₹ 30 per m³

Class 9 Maths NCERT Solutions Chapter 13 Exercise 13.5 Question 4

Summary:

It is given that the cost of digging a cuboidal pit 8 m long, 6 m broad and 3 m deep at the rate of ₹ 30 per m³. We have found that the cost of digging the cuboidal pit is ₹4320.

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