Comparison of Volumes of Solids

Q.

Draw and explain how will you find the volume of a small piece of stone.

Q. Find the number of cubical boxes of cubical side 5 cm, which can be accommodated in carton of dimensions 25 cm x 10 cm x 15 cm.

1. 40
2. 35
3. 30
4. 25

Q. A measuring glass is made using water and marbles. Here '1' indicates '5' marbles and 2 indicates '10' marbles and so on...

When a pencil is dropped in it, water level raises to 5M. Again a metal piece is dropped in it, the water level rasies to 25M. So the volume of metal piece is

1. 15 marbles
2. 20 marbles
3. 25 marbles
4. 30 marbles

Q. The volume of water in a measuring jar is 15 mL. When a stone is immersed in the water, the water level rises to 20 mL. The volume of the stone is .

1. $8{\text{cm}}^3$
2. $5{\text{cm}}^3$
3. $4{\text{cm}}^3$
4. $6{\text{cm}}^3$

Q.

Measuring cylinders are used to measure the area occupied by liquids.

1. True
2. False

Q. l = 2 cm, b = 2 cm, h = 2 cm Then Volume =

1. 2 cubic cm
2. 4 cubic cm
3. 8 cubic cm
4. 16 cubic cm

Q.

A hole dug in the ground in 5 cm long, 3 cm borad and 6 m deep.Find the volume of earth was removed.

Q.

The volume of a drop of a liquid is 0.3 mL. When 30 drops of the liquid are drained, the level of the liquid in the burette is found to be 50 mL. What is the initial level of the liquid?

1. 150ml

2. 59ml

3. 50ml

4. 200ml

Q. A measuring glass is made using water and marbles. Here '1' indicates '5' marbles and 2 indicates '10' marbles and so on...

If a lemon is dropped into it it raises to a level '3'. Then the volume of lemon is

1. 5 marbles
2. 10 marbles
3. 15 marbles
4. 20 marbles

Q. A measuring glass is made using water and marbles. Here '1' indicates '5' marbles and 2 indicates '10' marbles and so on...

When a pencil is dropped in it, water level raises to 5M. Again a metal piece is dropped in it, the water level rasies to 25M. So the volume of metal piece is

1. 15 marbles
2. 20 marbles
3. 25 marbles
4. 30 marbles

Q. Convert 88800 of salt into grams

Q. The volume of a cube of side $a$ units is cubic units.

1. $6a^3$
2. $6a^2$
3. $4a^2$
4. $a^3$

Q. The volume of water in a measuring jar is 24 mL. When a stone is immersed in the water, the water level rises to 32 mL. What is the volume of the stone ( in ${\text{cm}}^3$)?

1. 8

Q.

The external dimensions of wooden box are $18\mathrm{cm},10\mathrm{cm}$ and $6\mathrm{cm}$ respectively and thickness of the wood is $5\mathrm{mm}$. If the empty box weighs
$3.15\mathrm{kg}$, the weight of $1c.c.$ of wood is.

1. $7\mathrm{gm}$

2. $15\mathrm{gm}$

3. $10\mathrm{gm}$

4. $1\mathrm{gm}$

Q. How many cubes are in this rectangular prism (cuboid)? And hence, calculate the volume of the cuboid.
(Volume of $1$ cube $=1$ cubic units)

1. $24$ cubic units
2. $12$ cubic units
3. $48$ cubic units
4. $54$ cubic units

Q. The beaker had 14 ml of water before dropping the marbles. By how many millilitres will the water drop if two marbles are removed from the beaker?

1. 2
2. 4
3. 6
4. 8

Q. The volume of water in a measuring jar is 15 ml. When a stone is immersed in the water, the water level rises to 20 ml. What is the volume of the stone?

1. $8{\text{cm}}^3$
2. $6{\text{cm}}^3$
3. $4{\text{cm}}^3$
4. $5{\text{cm}}^3$

Q. The volume of water in a measuring jar is 37 ml. When an object is immersed in the water, the water level rises to 45 ml. What is the volume of the object(in cu cm)?

1. 8

Q. Try with different things like a matchbox, a stone, etc. and fill the table.

Name of the thing	Its volume (nearly how many marbles?)

Q. The volume of water in a measuring jar is 15 mL. When a stone is immersed in the water, the water level rises to 20 mL. The volume of the stone is .

1. $8{\text{cm}}^3$
2. $5{\text{cm}}^3$
3. $4{\text{cm}}^3$
4. $6{\text{cm}}^3$

Q. Count the number of cubes and find the volume in cu. cm.
(Let the side of each cube $=a$ )

Q. A stone of volume 11 cubic cm is placed in a measuring glass having 31 ml of water. What will be the water level in the measuring glass after placing the stone?

Q. How many small cubes are there in each cuboid respectively?

1. $10,12$
2. $12,10$
3. $5,6$
4. $6,5$

Q. is a physical property which tells us about the amount of heat present in a body.

1. Temperature
2. Hotness
3. Coldness

Q. $1{\text{cm}}^3=1\text{mL}$

1. True
2. False

Q.

2 cuboids of volume 4 cubic units are joined together. Find the resulting volume.

1. 8 cubic units
2. 10 cubic units
3. 40 cubic units
4. 80 cubic units

Q. The length, breadth and thickness of a rectangular sheet of metal are 4.234m , 1.005 m and 2.01 cm respectively. Give the area and volume of the sheet to correct significant figures.

Q. 700 ml is greater than 1 litre

1. False
2. True

Q. A measuring glass is made using water and marbles. Here '1' indicates '5' marbles and 2 indicates '10' marbles and so on...

If a lemon is dropped into it it raises to a level '3'. Then the volume of lemon is

1. 15 marbles
2. 20 marbles
3. 5 marbles
4. 10 marbles

Q.

Temperature is a measure of

1. Hotness
2. Energy