Mensuration Test

Result

Mensuration Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

A wooden box measures externally 4 m × 3 m × 2 m. The thickness of all four sides is 5 cm. If the capacity of the box is 18.096 m³, find the thickness of the bottom.

A
0.3 m

B
0.1 m

C
0.2 m

D
0.4 m

Solution

Let the thickness of the bottom = x m

Then, volume = 18.096 m³
(4 - 0.10) × (3 - 0.10) × (2 - 2x) = 18.096

2 - 2x = 1.6
x = 0.2
So, thickness of the bottom is 0.2 m.
Question 2
1 / -0

A group of 25 people jumped into a swimming pool of a hotel for swimming. If the swimming pool is 30 m × 15 m and the average displacement of water by a person is 1.8 m³, then the rise in the water level in the pool will be

A
10 cm

B
15 cm

C
20 cm

D
25 cm

Solution

Displacement by one person = 1.8 m³
Total volume of water displaced by 25 people = 25 × 1.8 m³ = 45 m³
Therefore, rise in the water = (45/(30 × 15)) m = 0.1 m = 10 cm