Geometry

Solids

Medium

The solid and the Surface area (S.A) of the following solids are given below.

(A) A cube of edge 9 cm., S.A = $486 \text{ cm}^2$

(B) A cuboid of 18 cm. long, 14 cm. width and 7 cm. height, S.A = $108 \text{ cm}^2$

(C) A cylinder with diameter of 14 cm. and height 80 cm., S.A = $3520 \text{ cm}^2$

(D) A sphere with radius of 14 cm., S.A = $2004 \text{ cm}^2$

Choose the correct answer from the options given below:

(B), (C)

(D), (A)

(A), (C)

(D), (B)

✅ Correct Option: 3

Cube: $6a^2 = 6 \times 81 = 486$ , correct. Cuboid: $2(lb+bh+hl) = 2(252+98+126) = 952$ , not 108. Cylinder with $r = 7$ : curved surface $= 2\pi r h = 2 \times \frac{22}{7} \times 7 \times 80 = 3520$ , correct. Sphere: $4\pi r^2 = 4 \times \frac{22}{7} \times 196 = 2464$ , not 2004. So (A) and (C).

Note: For (C) the figure 3520 is the curved surface area; the total surface area would be 3828, and we have read S.A. as curved surface area. This is an error by NTA, we've retained the same to put you through the same trauma as your seniors. Issues like this will probably repeat this year too, be wary!

2025: 22 May Shift 1

Find the values and arrange in increasing order:

(A) If each edge of a cube is increased by 20%, then the percentage increase in its volume is:

(B) If the radius of a cylinder is increased by 20%, while height increase 10%, then the percentage increase in the volume of the cylinder

(D) If the radius of a sphere is increased by 10%, then the percentage increase in its volume is:

Choose the correct order:

2025: 23 May Shift 1

If the radius of a sphere is increased by 50%, find the percent increase in surface area.

2026: 6 June Shift 1

Three solid cubes of sides 1 cm, 6 cm, and 8 cm are melted to form a new cube. The surface area of the cube so formed is:

2026: 14 May Shift 2

Consider the surface area of the following solids.

A. A cube of edge 4 cm.

B. A cylinder with a diameter of base 14 cm and height 35 cm.

C. A hemisphere with 28 cm diameter.

D. A sphere with a radius of 7 cm.

Arrange the above in decreasing order and choose the correct answer from the options given below:

2025: 29 May Shift 1

If the length of a cuboid is increased by 20% and its breadth is decreased by 20%, then the volume of cuboid

2026: 18 May Shift 2

Consider the surface area of the following solids.

A. A cube of edge 9 cm.

B. A cuboid of edges 18 cm, 14 cm and 7 cm.

C. A cylinder with radius of 14 cm and height 80 cm.

D. A sphere with radius of 14 cm.

Arrange the above in decreasing order.

Solution

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CUET General Test Past Year Questions (Topic-Wise)