Question types

Volume and Surface Area of Solids question types

106 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

106
Questions
5
Question groups
5
Question types
Sample Questions

Volume and Surface Area of Solids questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 33 Mark Question3 Marks
How many persons can be accommodated in a hall of length 16 m . Breadth 12.5 m and height 4.5 m , assuming that $3.6 m^3$ of air is required for each person?
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Q 43 Mark Question3 Marks
A particular brand of talcum powder is available in two packs, a plastic can with a square base of side 5cm and of height 14cm, or one with a circular base of radius 3.5cm and of height 12cm. Which of them has greater capacity and by how much?
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Q 8MCQ1 Mark
The diagonal of a cube measures $4\sqrt{3}\text{cm}.$ Its volume is:
 
  • A
    $8 \ cm^3$
  • B
    $16 \ cm^3$
  • C
    $27 \ cm^3$
  • $64 \ cm^3$

Answer: D.

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Q 9MCQ1 Mark
Five equal cubes, each of edge $5\ cm,$ are placed adjacent to each other. The volume of the cuboid so formed, is:
  • A
    $125 \ cm^3$
  • B
    $375 \ cm^3$
  • C
    $525 \ cm^3$
  • $625 \ cm^3$

Answer: D.

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Q 10MCQ1 Mark
The ratio of the radii of two cylinders is $2 : 3$ and the ratio of their heights is $5 : 3. $ The ratio of their volumes will be:
  • A
    $4 : 9$
  • B
    $9 : 4$
  • $20 : 27$
  • D
    $27 : 20$

Answer: C.

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Q 11MCQ1 Mark
The diameter of a cylinder is $14 \ cm$ and its curved surface area is $220 \ cm^2$. The volume of the cylinder is:
  • $770 \ cm^3$
  • B
    $1000 \ cm^3$
  • C
    $1540 \ cm^3$
  • D
    $6622 \ cm^3$

Answer: A.

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Q 12MCQ1 Mark
The surface area of a $(10 \ cm \times 4 \ cm \times 3 \ cm)$ brick is:
  • A
    $84 \ cm^2$
  • B
    $124 \ cm^2$
  • $164 \ cm^2$
  • D
    $180 \ cm^2$

Answer: C.

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Q 134 Mark Question4 Marks
Find the volume, lateral surface area and the total surface area of the cuboid whose dimensions are:
Length = 24m, breadth = 25cm and height = 6m
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Q 154 Mark Question4 Marks
A milk tank is in the form of a cylinder whose radius is 1.5m and height is 10.5m. Find the quantity of milk in litres that can be stored in the tank.
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Q 164 Mark Question4 Marks
Find the volume, curved surface area and total surface area of the cylinders whose dimensions are:
Radius of the base = 14dm and height = 15m
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Q 174 Mark Question4 Marks
Find the volume, lateral surface area and the total surface area of the cuboid whose dimensions are:
Length $=15 m$, breadth $=6 m$ and height $=9 dm$.
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