MENSURATION: 3D QUESTIONS


SURFACE AREA & VOLUME - 3 DIMENSIONAL


Questions:

1. Find the total surface area of a hemisphere of radius of 7 cm.

(a) 154 cm²

(b) 308 cm²

(c) 462 cm²

(d) 616 cm2

2. Find the curved surface area of a hemisphere whose diameter is 14 cm.

(a) 154 cm²

(b) 308 cm²

(c) 462 cm2

(d) 616 cm2

3. Find the height of a cuboid whose volume and base area are 144 m cube and 18 m² respectively.

(a) 6 meters

(b) 7 meters

(c) 7.5 meters

(d) 8 meters

4. The surface area of a cube is 486 cm². Find its volume

(a) 81 cm³

(b) 243 cm³

(c) 529 cm³

(d) 729 cm³

5. The areas of three adjacent sides of cuboid are 15 sq m, 12 sq m and 5 sq m. What is the volume of the cuboid?

(a) 30 m cube

(b) 60 m cube

(c) 180 m cube

(d) 75 m cube

6. if each side of cube is increased by 30%, then its surface area will be increased by:

(a) 50%

(b) 51%

(c) 60%

(d) 69%

7. If radius and height of a cylinder are increased by 20%, find percentage increase in its volume

(a) 40%

(b) 44%

(c) 66%

(d) 72.8%

8. Two cubes each 6 cm edge are joined end to end. The surface area of the resulting cuboid is:

(a) 216 cm2

(b) 360 cm2

(c) 512 cm2

(d) 720 cm2

9. If ratio of radii of two cylinders is 2:3 and ratio of their heights is 5:4, find the ratio of their volumes.

(a) 8:27

(b) 25:16

(c) 5:6

(d) 5:9

10. The diameter and height of a cone are 14 cm and 24 cm respectively. Find curved surface area of the cone.

(a) 168 sq cm

(b) 528 sq cm

(c) 550 sq cm

(d) 1056 sq cm

ANSWER KEY:

1-C
2-B
3-D
4-D
5-A
6-D
7-D
8-B
9-D
10-C

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