100+ Volume and Surface Area Questions and Answers Pdf - 2

Question: 6

A swimming pool 9m wide 12m long and 1m deep on the shallow side and 4m deep on the deeper side. Its volume is

(A) 270 m³

(B) 360 m³

(D) 470 m³

View Answer

Ans: A

Given length of width of swimming pool is 9m and 12 m respectively.

Volume of swimming pool = 9 × 12 × $$({1 + 4} / {2})$$

= 9 × 12 × $${5}/{2}$$ = 270 cu.meter.

Question: 7

A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of man is

(A) 42 kg

(B) 50 kg

(D) 72 kg

View Answer

Ans: C

Volume of water displaced = (3 × 2 × 0.01) m³ = 0.06 m³

∴ Mass of man = Volume of water displaced × Density of water

= (0.06 × 1000) kg = 60 kg.

Question: 8

A rectangular box measures internally 1.6 m long, 1 m broad and 60 cm deep. The number of cubical blocks each of edge 20 cm that can be packed inside the box is

(A) 60

(B) 120

(D) 180

View Answer

Ans: B

Number of blocks = $$({160 × 100 × 60} / {20 × 20 × 20})$$ = 120.

Question: 9

A rectangular tank is 225 m by 162 m at the base. With what speed must water flow into it through an aperture 60 cm by 45 cm so that the level may be raised 20 cm in 5 hours?

(A) 5000 m/hr

(B) 5200 m/hr

(D) 5400 m/hr

View Answer

Ans: D

Volume flown in 5 hours = $$(225 × 162 × {20} /{100})$$m³ = 7290 m³.

Volume flown in 1 hour = $$({7290} / {5})$$ m³ = 1458 m³.

∴ Required speed = $$({1458} / {0.60 × 0.45})$$ m/hr = 5400 m/hr.

Question: 10

What is the weight of water contained in a conical vessel 21 cm deep and 16 cm in diameter?

(A) 1.256 kg

(B) 1.259 kg

(D) 2.480 kg

View Answer

Ans: C

Volume of water = $$({1}/{3} × {22}/{7} × 8 × 8 × 21)$$cm³

= 1408 cm³ = $$({1408} /{1000})$$kg = 1.408 kg.

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100+ Volume and Surface Area Questions and Answers Pdf - 2

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