Volume & Surface Area Questions for SSC, Bank PO, SO, Clerk Exams - 1

Question: 1

Five equal cubes, each of side 5 cm are placed adjacent to each other. The volume of the new solid formed will be

(A) 125 cm3

(B) 625 cm3

(C) 15525 cm3

(D) None of these

Ans: B

The new solid formed a cuboid of length 25 cm, breadth 5 cm and height 5 cm.

∴ Volume = (25 × 5 × 5) cm3 = 625 cm3.

Question: 2

Water flows through a cylindrical pipe of internal diameter 7 cm at 2 m per second. If the pipe is always half full, then what is the volume of water (in litres) discharged in 10 minutes?

(A) 2310

(B) 3850

(C) 4620

(D) 9240

Ans: C

Volume of water flown in 1 sec. = $$({22}/{7} × {7}/{2} × {7}/{2} × 200)$$ cm3 = 7700 cm3

Volume of water flown in 10 mm = (7700 × 60 × 10) cm3

= $$({7700 × 60 × 10}/{1000})$$ litres = 4620 litres.

Question: 3

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

(A) 36

(B) 216

(C) 218

(D) 432

Ans: B

Number of cubes = $$({18 × 18 × 18} / {3 × 3 × 3})$$ = 216.

Question: 4

A cube of length 1 cm is taken out from a cube of length 8 cm. What is the weight of the remaining portion?

(A) $${511}/{512}$$ of the weight of the original cube

(B) $${63}/{64}$$ of the weight of the original cube

(C) $${7}/{8}$$ of the weight of the original cube

(D) $${8}/{9}$$ of the weight of the original cube

Ans: A

Volume of the bigger cube = (83) cm3 = 512 cm3

Volume of the cut out cube = (13) cm3 = 1 cm3

Volume of the remaining portion = (512 – 1) cm3 = 511 cm3

. $${Weight of the remaining portion} / {Weight of the original cube}$$ = $${511}/{512}$$.

Question: 5

If a river 2.5 m deep and 45 m wide is flowing at the rate of 3.6 km per hour, then the amount of water that runs into the sea per minute is

(A) 6650 cu.m

(B) 6750 cu.m

(C) 6850 cu.m

(D) 6950 cu.m

Ans: B

Length of water column flown in 1 min = $$({3.6 × 1000} / {60})$$m = 60 m.

Volume flown per minute = (60 × 45 × 2.5)m3 = 6750 m3.

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