100+ Volume and Surface Area Questions for Bank Exams - 1

Ans: C

Volume of the bricks = 95%

Volume of wall = $$({95}/{100} × 600 × 500 × 50)$$cm³.

Volume of 1 brick = (25 × 12.5 × 7.5)cm³.

∴ Number of bricks = $$({95}/{100} × {600 × 500 × 50} / {25 × 12.5 × 7.5})$$ = 6080.

Ans: D

Let original edge = a. Then volume = a³.

New edge = 2a. So new volume = (2a)³ = 8a³.

∴ Volume becomes 8 times.

Ans: C

Volume of the largest cone

= Volume of the come diameter of base 9 cm and height 9 cm

= $$({1/3} × {22/7} × 4.5 × 4.5 × 9)$$cm³ = $$({1336.5}/{7})$$cm³ = 190.93cm³.

Ans: D

Let the side of cube = 10cm

∴ Original volume = 10 × 10 × 10 = 1000cm³

Now, side of new cube = 10 - 25% of 10 = 7.5cm

∴ New volume = 7.5 × 7.5 × 7.5 = 421.875cm³

∴ Required ratio = $${1000}/{421.875}$$ = $${1000000}/{421875}$$ = $${64}/{27}$$ = 64 : 27.

Ans: B

Area = (1.5 × 10000)m² = 15000 m².

Depth = $${5}/{100}$$m = $${1}/{20}$$m.

∴ Volume = (Area × Depth) = $$(15000 × {1}/{20})$$m³ = 750 m³.