Sample QuestionsVolume 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.
The diagonal of a cube measures $4\sqrt{3}\text{cm}.$ Its volume is:
- A
$8 \mathrm{~cm}^3$
- B
$16 \mathrm{~cm}^3$
- C
$27 \mathrm{~cm}^3$
- ✓
$64 \mathrm{~cm}^3$
Answer: D.
View full solution →Five equal cubes, each of edge $5\ cm,$ are placed adjacent to each other. The volume of the cuboid so formed, is:
- A
$ 125 \mathrm{~cm}^3 $
- B
$ 375 \mathrm{~cm}^3 $
- C
$ 525 \mathrm{~cm}^3 $
- ✓
$ 625 \mathrm{~cm}^3 $
Answer: D.
View full solution →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.
View full solution →The diameter of a cylinder is $14\ cm$ and its curved surface area is $220\ cm^2$. The volume of the cylinder is:
- ✓
$770 \mathrm{~cm}^3$
- B
$1000 \mathrm{~cm}^3$
- C
$1540 \mathrm{~cm}^3$
- D
$6622 \mathrm{~cm}^3$
Answer: A.
View full solution →The surface area of a $(10\ cm \times 4\ cm \times 3\ cm)$ brick is:
- A
$ 84 \mathrm{~cm}^2 $
- B
$ 124 \mathrm{~cm}^2$
- ✓
$164 \mathrm{~cm}^2 $
- D
$ 180 \mathrm{~cm}^2 $
Answer: C.
View full solution →Find the surface area of a chalk box, whose length, breadth and height are $18\ cm, 10\ cm$ and $8\ cm$ respectively.
View full solution →How many soap cakes each measuring $7cm \times 5cm \times 2.5cm$ can be placed in a box of size $56cm \times 40cm \times 25cm?$
View full solution →How many persons can be accommodated in a hall of length $16\ m$. Breadth $12.5\ m$ and height $4.5\ m$, assuming that $3.6m^3$ of air is required for each person?
View full solution →A particular brand of talcum powder is available in two packs, a plastic can with a square base of side $5\ cm$ and of height $14\ cm$, or one with a circular base of radius $3.5\ cm$ and of height $12\ cm$. Which of them has greater capacity and by how much?
View full solution →The curved surface area of a cylindrical pillar is $264m^2$ and its volume is $924m^3$. Find the diameter and height of the pillar.
View full solution →A swimming pool is $260\ m$ long and $140\ m$ wide. If $54600$ cubic metres of water is pumped into it, find the height of the water level in it.
View full solution →How many bricks, each of size $25\ cm \times 13.5\ cm \times 6\ cm$, will be required to build a wall $8\ m$ long, $5.4\ m$ high and $33\ cm$ thick?
View full solution →Find the volume, lateral surface area and the total surface area of the cuboid whose dimensions are:
Length $= 24m,$ breadth $= 25\ cm$ and height $= 6m$
View full solution →A wooden cylindrical pole is $7\ m$ high and its base radius is $10\ cm$. Find its weight if the wood weighs $225\ kg$ per cubic metre.
View full solution →A milk tank is in the form of a cylinder whose radius is $1.5\ m$ and height is $10.5\ m$. Find the quantity of milk in litres that can be stored in the tank.
View full solution →Find the volume, curved surface area and total surface area of the cylinders whose dimensions are: Radius of the base $= 14\ dm$ and height $= 15\ m$
View full solution →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 $= 9\ dm.$
View full solution →Fill in the blanks. If $l, b, h$ be the length, breadth and height of a cuboid, then its lateral surface area $=$ ________ sq units.
View full solution →Fill in the blanks. If $r$ is the radius of the base and $h$ be the height of a cylinder, then its lateral surface area is ________ sq units.
View full solution →Fill in the blanks. If $r$ is the radius of the base and $h$ be the height of a cylinder, then its volume is __________ cubic units.
View full solution →Fill in the blanks. If $l, b, h$ be the length, breadth and height of a cuboid, then its whole surface area $=$ ________ sq units.
View full solution →Fill in the blanks.
If each side of a cube is a, then its lateral surface area is ______ sq units.