A solid cube of edge 12 cm is cut into small cubes of edge 3 cm. How many times the original total surface area is the combined surface area of the small cubes?
Correct answer A. 4 times
Topic / 64 questions
Volume and Surface Area MCQs
Volume and Surface Area MCQs are mensuration questions on the space inside and the area covering solid shapes such as cubes, cuboids, cylinders and cones. They help candidates for staff selection, banking, recruitment and admission tests. Every question shows its correct answer instantly, so you can check formulas and working step by step.
- Numbers 104
- Percentage 103
- Age Questions 95
- Profit and Loss 82
- Ratio and Proportion 80
- Time and Work 73
- Alligation or Mixture 73
- Fraction and Decimal 72
- Compound Interest 71
- Simple Interest 69
- Area 64
- Volume and Surface Area 64
- Equations and Inequalities 64
- Time and Distance 64
- Simplification 60
- Permutation and Combination 59
- Average 59
- Basic Algebra 58
- Pipes and Cistern 57
- Partnership 56
- Square Root and Cube Root 51
- Problems on Numbers 47
- Probability 45
- Problems on Trains 44
- Odd Man Out and Series 43
- Surds and Indices 43
- Clock 39
- Races and Games 38
- Height and Distance 37
- True Discount 36
- Stocks and Shares 34
- Boats and Streams 34
- Banker's Discount 32
- Counting 32
- Logarithm 30
- Problems on H.C.F and L.C.M 30
- Calendar 30
- Road Problems 26
- Word Problems 25
- Men and Food 24
A cylindrical pillar has a diameter of 70 cm and a height of 6 m. What is the cost of painting its curved surface at Rs. Taking π = 22/7, 25 per square metre?
Correct answer B. Rs. 330
The inside of a hemispherical dome of radius 7 m is to be whitewashed at Rs. 12 per square metre. Taking π = 22/7, what is the cost?
Correct answer D. Rs. 3,696
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An open cubical tank (without a lid) has an edge of 1.5 m. What is the cost of painting its outer surface, excluding the base it stands on and the open top, at Rs. 40 per square metre?
Correct answer B. Rs. 360
Water flows through a pipe of internal radius 3.5 cm at a speed of 2 m per second. Taking π = 22/7, how many litres of water flow out in one minute?
Correct answer A. 462 litres
Water flows at 5 km/h through a pipe of internal radius 7 cm into a rectangular tank 50 m long and 44 m wide. Taking π = 22/7, in how many hours will the water level in the tank rise by 21 cm?
Correct answer A. 6 hours
A water tank is a cuboid 2.5 m long, 1.6 m wide and 1.2 m deep. How many litres of water can it hold?
Correct answer A. 4,800 litres
Each edge of a cube is increased by 50%. By what percentage does its total surface area increase?
Correct answer A. 125%
If the radius of a sphere is doubled, how many times its original volume does the new volume become?
Correct answer A. 8 times
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The radius of a cylinder is halved and its height is doubled. What happens to its volume?
Correct answer D. It is halved
A cylindrical vessel holds 1386 cu cm of milk. What is the volume of a cone with the same base radius and the same height?
Correct answer D. 462 cu cm
A metal pipe is 21 cm long. Its external radius is 8 cm and its internal radius is 6 cm. Taking π = 22/7, what is the volume of metal in the pipe?
Correct answer B. 1,848 cu cm
A solid hemisphere of radius 9 cm is melted and recast into a cone with the same base radius. What is the height of the cone?
Correct answer A. 18 cm
A storeroom is 12 m long, 4 m wide and 3 m high. What is the length of the longest pole that can be placed in it?
Correct answer B. 13 m
The areas of three adjacent faces of a cuboid are 24 sq cm, 32 sq cm and 48 sq cm. What is its volume?
Correct answer B. 192 cu cm
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Water flows at 70 cm per second through a pipe of internal radius 1 cm into an empty cylindrical tank of base radius 70 cm and height 60 cm. How long will it take to fill the tank?
Correct answer A. 1 hour 10 minutes
A closed wooden box measures 2 m by 1.5 m by 1 m. What is the cost of painting its entire outer surface at Rs. 18 per square metre?
Correct answer A. Rs. 234
A cylindrical container of radius 6 cm and height 15 cm is full of ice cream. It is filled into cones of radius 3 cm and height 12 cm, each topped with a hemisphere of the same radius. How many such cones can be filled?
Correct answer A. 10
The surface area of a sphere is 616 sq cm. Taking π = 22/7, what is its volume?
Correct answer A. 1,437 1/3 cu cm
The base radii of two cones are in the ratio 3 : 4 and their heights are in the ratio 4 : 3. What is the ratio of their volumes?
Correct answer A. 3 : 4
About Volume and Surface Area MCQs
This set applies standard mensuration formulas to practical situations. Questions include the capacity of a cylindrical tank, an open box formed by cutting squares from the corners of a metal sheet, the number of bricks needed for a wall, and the cone formed by rotating a 3-4-5 right triangle about one side. Several are data sufficiency items asking which statements are enough to find a volume. Others combine curved surface area and volume to find a pillar's dimensions. Knowing the formulas for each solid and keeping units consistent is essential.
Exams that include Volume and Surface Area MCQs
Pakistan
- NTS
- PPSC
- FPSC
- ECAT
India
- SSC CGL
- SSC CHSL
- IBPS PO
- RRB NTPC
Bangladesh
- Bank job exams
- BCS
- Engineering admission (BUET)
Frequently asked questions
What are the volume formulas for a cylinder and a cone?
The volume of a cylinder is pi r squared h, and the volume of a cone is one third of pi r squared h, where r is the base radius and h the height. A cone therefore holds exactly one third of a cylinder with the same base and height.
How do you find the number of bricks needed for a wall?
Convert all measurements to the same unit, find the volume of the wall and the volume of one brick, then divide. For a wall 800 cm by 600 cm by 22.5 cm and bricks 25 cm by 11.25 cm by 6 cm, the answer is 6,400 bricks.
Last reviewed October 2026