Volume and Surface Area | Aptitude Questions and Answers

Volume and Surface Area questions and answers are most important for all competitive exams and entrance tests. In this section, you will find many types of volume and surface Area questions and answers. Practice these questions and answers that will help you crack any competitive exam like SSC, IBPS, PO, RBI, PSC, RAIL, PSU, and many more exams.

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Volume and Surface Area Questions and Answers

Q1. The capacity of a tank of dimensions $\mathbf{\left ( 8m \times 6m \times 2.5m \right )}$ is:

A. 120 litres

B. 1200 litres

C. 12000 litres

D. 120000 litres

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Correct Answer : 120000 litres

Q2. A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

A. 50 sq.m

B. 49 sq.m

C. 55 sq.m

D. 53.5 sq.m

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Correct Answer : 49 sq.m

Q3. What is the volume of a cube (in cubic cm) whose diagonal measures $\mathbf{4\sqrt{3}}$ cm ?

A. 27

B. 64

C. 16

D. 8

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Correct Answer : 64

Q4. 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m³, then the rise in the water level in the tank will be:

A. 25 cm

B. 50 cm

C. 20 cm

D. 35 cm

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Correct Answer : 25 cm

Q5. Find the length of the longest rod that can be placed in a room 16 m long, 12 m broad and $\mathbf{10\tfrac{2}{3} m}$ high.

A. 23 m

B. 68 m

C. 68/3 m

D. 67/3 m

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Correct Answer : 68/3 m

Q6. The perimeter of one face of a cube is 20 cm. Its volume must be:

A. 125

B. 400

C. 1000

D. 8000

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Correct Answer : 125

Q7. The areas of the three adjacent faces of a rectangular box which meet in a point are known.The product of these areas is equal to:

A. the cube root of the volume of the box

B. the square of the volume of the box

C. twice the volume of the box

D. the volume of the box

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Correct Answer : the square of the volume of the box

Q8. 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 the man is:

A. 60 kg

B. 96 kg

C. 72 kg

D. 12 kg

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Correct Answer : 60 kg

Q9. Total surface area of a cube whose side is 0.5 cm is:

A. 1/4 sq. cm

B. 3/4 sq. cm

C. 3/2 sq. cm

D. 1/8 sq. cm

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Correct Answer : 3/2 sq. cm

Q10. A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is:

A. 270

B. 208

C. 408

D. 360

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Correct Answer : 270

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