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Volume and Surface Area Objective Questions and answer

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1.) Find the volume and surface area of a cuboid 16 m long, 14 m broad and 7 m high.

A. 680                               B. 712

C. 868                               D. None of these

View Answer

Answer: Option C

Explanation:

Sol. Volume = (16 x 14 x 7) m3 = 1568 m3.

Surface area = [2 (16 x 14 + 14 x 7 + 16 x 7)] cm2

= (2 x 434) cm2 = 868 cm2.


2.) Find the length of the longest pole that can be placed in a room 12m long 8m broad and 9m high.

A. 12                                 B. 13

C. 15                                 D. 17

View Answer

Answer: Option D

Explanation:

Sol. Length of longest pole = Length of the diagonal of the room

= (122+82+92= √(289)= 17 m.


3.) Find the number of bricks, each measuring 24 cm x 12 cm x 8 cm, required to construct a wall 24 m long, 8m high and 60 cm thick, if 10% of the wall is filled with mortar?

A. 19680                             B. 29650

C. 38161                             D. 45000

View Answer

Answer: Option D

Explanation:

Volume of the wall = (2400 x 800 x 60) cu. cm.

Volume of bricks = 90% of the volume of the wall

= ((90/100)* 2400 * 800 * 60) cm.

Volume of 1 brick = (24 x 12 x 8) cm.

bindu Number of bricks= (90/100)*(2400*800*60)/ (24*12*8)

= 45000.


4.) A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.

A. 20                                 B. 30

C. 40                                D. 50

View Answer

Answer: Option C

Explanation:

Volume of the block = (6 x 12 x 15) cm3 = 1080 cm3.

Side of the largest cube = H.C.F. of 6 cm, 12 cm, 15 cm = 3 cm.

Volume of this cube = (3 x 3 x 3) cm3 = 27 cm3.

Number of cubes = 1080/27 = 40.


5.) A cube of edge 15 cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20 cm x 15 cm, find the rise in water level.

A. 11.25 cm                        B. 13.19 cm

C. 16.21 cm                        D. None of these

View Answer

Answer: Option A

Explanation:

Sol. Increase in volume = Volume of the cube = (15 x 15 x 15) cm3.

binduRise in water level = volume/area = (15 x 15 x 15)/ (20 x 15) cm

= 11.25 cm.


 
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