Geometry

Solids

Hard

A cuboidal slab of copper having dimensions 22 cm $\times$ 10 cm $\times$ 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 Rs.) Use $\pi = \frac{22}{7}$ .

525

650

2100

2600

✅ Correct Option: 3

Volume of cuboid $= 22 \times 10 \times 5 = 1100$ cm $^3$ . Wire radius $= 0.5$ mm $= 1/20$ cm. Using $\pi r^2 L = 1100$ : $L = 1100 \times 7 / (22 \times 1/400) = 140000$ cm $= 1400$ m. Cost $= 1400 \times 1.50 = 2100$ .

2025: 2 June Shift 2

A solid, metallic right circular cone of radius 7 cm and height 3 cm is melted into three cubes. If the sides of two cubes are 3 cm and 5 cm, then the side of the third cube will be how much?

2026: 25 May Shift 2

The surface area of a cube is 1734 $cm^2$ , its volume is :

2026: 12 May Shift 1

The base radius and height of a right circular cylinder is in the ratio of 1:7. If the volume is 176 cm $^3$ , the total surface area of the right circular cylinder is:

2026: 12 May Shift 1

A Swimming pool was constructed for swimmers with 18 meter wide and 24 meter long is 4 meter deep on shallow side and 8 meter deep on the deeper side. It's volume for average depth is:

2026: 20 May Shift 2

A cube has a total surface area of 384 $cm^2$ . What is the volume of the cube?

2026: 26 May Shift 1

Consider the surface area of the following solids.

(A) A cube of edge 8 cm.

(B) A cylinder with a diameter of base 10 cm and height 42 cm.

(D) A sphere with a radius 21 cm.

Arrange the above in decreasing order.

Choose the correct answer from the options given below:

A cuboidal slab of copper having dimensions 22 cm ×\times× 10 cm ×\times× 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 Rs.) Use π=227\pi = \frac{22}{7}π=722​.

Solution

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CUET General Test Past Year Questions (Topic-Wise)

A cuboidal slab of copper having dimensions 22 cm $\times$ 10 cm $\times$ 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 Rs.) Use $\pi = \frac{22}{7}$ .