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Question (1)

QN0037021

1. A solid formed by joining two or more basic solids is generally called a:

(A) Regular solid
(B) Combination of solids
(C) Plane figure
(D) Uniform solid

Correct Answer: B

Explanation:

The chapter deals with objects formed by combining basic solids such as cuboids, cones, cylinders, spheres and hemispheres.

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Question (2)

QN0037022

2. A cylinder has a hemisphere attached to each of its two circular ends. Which surfaces are visible externally?

(A) Only the two circular bases of the cylinder
(B) Curved surfaces of the cylinder and both hemispheres
(C) Total surface areas of all three solids
(D) Only the curved surfaces of the hemispheres

Correct Answer: B

Explanation:

The circular faces where the parts are joined become internal and are not exposed.

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Question (3)

QN0037023

3. A toy consists of a cone mounted on a hemisphere of the same radius. The surface area to be painted is:

(A) TSA of cone + TSA of hemisphere
(B) CSA of cone + CSA of hemisphere
(C) Base area of cone + base area of hemisphere
(D) CSA of cone only

Correct Answer: B

Explanation:

The common circular base is hidden. Therefore only the curved surfaces are exposed.

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Question (4)

QN0037024

4. Two cubes, each of volume 64 cm³, are joined end to end. The surface area of the resulting cuboid is:

(A) 128 cm²
(B) 160 cm²
(C) 192 cm²
(D) 224 cm²

Correct Answer: B

Explanation:

Side of each cube = 4 cm. Resulting cuboid dimensions = 8 × 4 × 4 cm. TSA = 2(32 + 32 + 16) = 160 cm².

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Question (5)

QN0037025

5. A cube of side 6 cm is joined to another identical cube face-to-face. What is the surface area of the resulting cuboid?

(A) 432 cm²
(B) 456 cm²
(C) 480 cm²
(D) 504 cm²

Correct Answer: C

Explanation:

Dimensions = 12 × 6 × 6 cm. TSA = 2(72 + 72 + 36) = 360 cm². The source set explicitly notes that none of the listed options matches; the stated correct value is 360 cm².

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Question (6)

QN0037026

6. A hemisphere of radius 7 cm is mounted on a cube of side 14 cm. What is the greatest possible diameter of the hemisphere?

(A) 7 cm
(B) 14 cm
(C) 21 cm
(D) 28 cm

Correct Answer: B

Explanation:

The diameter of the hemisphere cannot exceed the side of the square top face of the cube. Hence diameter = 14 cm.

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Question (7)

QN0037027

7. A cube of side 7 cm has a hemispherical depression whose diameter equals the side of the cube. The radius of the depression is:

(A) 2.5 cm
(B) 3.5 cm
(C) 7 cm
(D) 14 cm

Correct Answer: B

Explanation:

Diameter = 7 cm, so radius = 7/2 = 3.5 cm.

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Question (8)

QN0037028

8. A solid consists of a cylinder with two hemispheres attached to its ends. If the common radius is r and the cylindrical height is h, its external surface area is:

(A) 2πrh + 4πr²
(B) 2πrh + 2πr²
(C) 2πrh + πr²
(D) πr²h + 4πr²

Correct Answer: A

Explanation:

CSA of cylinder = 2πrh. Two hemispheres together form a sphere with area 4πr².

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Question (9)

QN0037029

9. A capsule has cylindrical length 10 cm and radius 2 cm, with hemispheres attached at both ends. Its total length is:

(A) 10 cm
(B) 12 cm
(C) 14 cm
(D) 16 cm

Correct Answer: C

Explanation:

Two hemispheres together contribute a length equal to one diameter = 4 cm. Total length = 10 + 4 = 14 cm.

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Question (10)

QN0037030

10. A capsule has total length 14 mm and diameter 5 mm. What is the length of its cylindrical portion?

(A) 5 mm
(B) 7 mm
(C) 9 mm
(D) 10 mm

Correct Answer: C

Explanation:

Two hemispheres together contribute one diameter = 5 mm. Cylindrical length = 14 − 5 = 9 mm.

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Question (1)

1. A solid formed by joining two or more basic solids is generally called a:

Explanation:

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Question (2)

2. A cylinder has a hemisphere attached to each of its two circular ends. Which surfaces are visible externally?

Explanation:

Link:

Question (3)

3. A toy consists of a cone mounted on a hemisphere of the same radius. The surface area to be painted is:

Explanation:

Link:

Question (4)

4. Two cubes, each of volume 64 cm³, are joined end to end. The surface area of the resulting cuboid is:

Explanation:

Link:

Question (5)

5. A cube of side 6 cm is joined to another identical cube face-to-face. What is the surface area of the resulting cuboid?

Explanation:

Link:

Question (6)

6. A hemisphere of radius 7 cm is mounted on a cube of side 14 cm. What is the greatest possible diameter of the hemisphere?

Explanation:

Link:

Question (7)

7. A cube of side 7 cm has a hemispherical depression whose diameter equals the side of the cube. The radius of the depression is:

Explanation:

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Question (8)

8. A solid consists of a cylinder with two hemispheres attached to its ends. If the common radius is r and the cylindrical height is h, its external surface area is:

Explanation:

Link:

Question (9)

9. A capsule has cylindrical length 10 cm and radius 2 cm, with hemispheres attached at both ends. Its total length is:

Explanation:

Link:

Question (10)

10. A capsule has total length 14 mm and diameter 5 mm. What is the length of its cylindrical portion?

Explanation:

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