Quant Quiz on "MENSURATION" for SSC CGL 2016

1. If the total surface area of a cube is 6 sq units, then what is the volume of the cube ?

1 cu unit

2 cu units

4 cu units

6 cu units

2. If the volume of a cube is 729 cu cm, what is the length of its diagonal ?

9√2 cm

9√3 cm

18 cm

18√3 cm

3. Find the surface area of a cuboid 10 m long, 5 m broad and 3 m high.

105 sq m

104 sq m

170 sq m

190 sq m

4. The surface area of a cube is 726 sq cm. Find the volume of the cube.

1331 cm³

1232cm³

1626cm³

1836 cm³

5. Three cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find half of the surface area of the new cube.

243 sq cm

463 sq cm

486 sq cm

293 sq cm

6. The maximum length of a pencil that can be kept in a rectangular box of dimensions 8 cm × 6 cm × 2 cm, is

2√13 cm

2√14 cm

2√26 cm

10√2 cm

7. Internal length, breadth and height of a rectangular box are 10 cm, 8 cm and 6 cm, respectively. How many boxes are needed which can be packed in a cube whose volume is 6240 cu. cm. ?

12

13

15

17

8. How many cubes of 3 cm edge can be cut out of a cube of 18 cm edge ?

63

432

216

None of these

9. A cube has each edge 2 cm and a cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint an area equal to 54 cm². Which one of the following is correct ?

Both cube and cuboid can be painted

Only cube can be painted

Only cuboid can be painted

Neither cube nor cuboid can be painted

10. The whole surface area of a rectangular block is 8788 sq cm. If length, breadth and height are in the ratio of 4 : 3 : 2, then find the length.

26 cm

52 cm

104 cm

13 cm

11. The capacity of a cuboid tank of water is 50000 L. Find the breadth of the tank, if its length and depth are 2.5 m and 10 m, respectively.

2 m

4 m

9 m

6 m

12. The paint in certain container is sufficient to paint an area equal to 9.375 sq m. How many bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container?

100

200

50

175

13. What are dimensions (length, breadth and height, respectively) of a cuboid with volume 720 cu cm, surface area 484 sq cm and the area of the base 72 sq cm ?

9, 8 and 10 cm

12, 6 and 10 cm

18, 4 and 10 cm

30, 2 and 12 cm

14. The volume of a cube is numerically equal to sum of its edges. What is the total surface area in square units ?

12

36

72

144

15. If each side of a cube is decreased by 19%, then decrease in surface area is-

40%

38.4%

35%

34.39%

               

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