Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

A cuboidal slab of copper having dimensions 22 cm × 10 cm × 5 cm is melted and recasted in the form of a wire of 1 mm diameter. The wire is rubber coated at the rate of Rs. 1.50 per meter. Find the cost of rubber coating (in ₹) (Use $\pi =\frac{22}{7}$).

Options:

525

650

2100

2600

Correct Answer:

2100

Explanation:

Volume of cuboidal slab = 22 cm × 10 cm × 5 cm = 1100 cubic cm

Volume of wire of 1 mm dia = Πd2h/4 = Π(0.1)2h /4

Given, Volume of cuboidal slab =  Volume of wire of 1 mm dia 

1100 = Π(0.1)2h/4

h = 4400/Π(0.1)2

h = 140000 cm

The wire is rubber coated at the rate of Rs. 1.50 per meter

Cost of rubber coating of the wire = 1.5*140000/100 =  2100

The correct answer is Option (3) → 2100