Mensuration-II Test

Result

Mensuration-II Test - 1

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Question 1
1 / -0.25

A beam 9 m long, 40 cm wide and 20 cm high is made up of iron which weighs 50 kg per cubic metre. The weight of the beam is:

A
56 kg

B
48 kg

C
36 kg

D
27 kg

E
None of these

Solution

= 36
Question 2
1 / -0.25

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

A
2√13 cm

B
2√14 m

C
2√26 cm

D
10√2 m

E
None of these

Solution

= √104 = 2√26 cm
Question 3
1 / -0.25

A wall 8 m long 6 m high and 22.5 cm thick is made up of bricks each measuring (25 cm × 11.25 cm × 6 cm). The number of bricks required is:

A
6000

B
5600

C
6400

D
7200

E
None of these

Solution

= 6400
Question 4
1 / -0.25

A rectangular block 6 cm × 12 cm × 15 cm is cut up into exact number of equal cubes. The least possible number of cubes will be:

A
6

B
11

C
33

D
40

E
None of these

Solution
Question 5
1 / -0.25

Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively are melted and formed into a single cube. The edge of the new cube formed is:

A
12 cm

B
14 cm

C
16 cm

D
18 cm

E
None of these

Solution
Question 6
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The surface area of a cube is 600 cm. The length of its diagonal is:

A
10/√3 cm

B
10/√2 cm

C
10√3 cm

D
10√2 cm

E
None of these

Solution
Question 7
1 / -0.25

The sum of the length, breadth and depth of a cuboid is 19 cm and its diagonal is 5√5 cm. Its surface area is :

A
361 cm²

B
125 cm²

C
236 cm²

D
486 cm²

E
None of these

Solution
Question 8
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Given that 1 cu cm of marble weighs 25 gms, the weight of a marble block 28 cm in width and 5 cm thick is 112 kg. The length of the block is

A
36 cm

B
37.5 cm

C
32 cm

D
26.5 cm

E
None of these

Solution
Question 9
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The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cu metres. The breadth of the wall is:

A
30 cm

B
40 cm

C
22.5 cm

D
25 cm

E
None of these

Solution
Question 10
1 / -0.25

In a shower 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is :

A
75 cu m

B
750 cu m

C
7500 cu m

D
75000 cu m

E
None of these

Solution

Area = (1.5 × 10000) sq. metres
= 15000 sq metres.
Depth = 5/100 m = 1/20 m
So, Volume = (Area × Depth)
= (15000 × 1/20) = 750 cu m.