Finding Unknown Using Formula of Volume of Rectangular Box

Q.

If the volume of a room is $792m^3$ and the area of the floor is $132m^2$, find the height of the room.

1. $8$ m

2. $10$m

3. $6$ m

4. Data insufficient

Q. Calculate the volume of the following figure.

1. 162

Q.

A solid cubical block of fine wood costs Rs.256 at the rate of $500/m^3$. Find the length of each side.

1. 20 cm

2. 18 cm

3. 80 cm

4. 60 cm

Q.

The water in a cubical tank of side 10m is transferred to completely fill a cuboidal tank of length 5m and breadth 10m and height 'h' m. The height of the cuboidal tank (in metres) is ___

1. 10 m

2. 40 m

3. 20 m

4. 30 m

Q.

A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. Calculate the thickness of the bottom.

1. 15 cm

2. 10 cm

3. 12 cm

4. 25 cm

Q.

A rectangular aquarium, is $\frac{2}{5}$ filled.When 16 liters of water is added, the aquarium is $\frac{2}{3}$ filled. Find the height of the aquarium if the length and width are 50 cm and 40 cm respectively.

1. 80 cm

2. 50 cm

3. 25 cm

4. 30 cm

Q.

What is the volume of the figure given below?

1. $158i{n}^3$

2. $150i{n}^3$

3. $162i{n}^3$

4. $142i{n}^3$

Q.

What is the length of a box if its volume=$70m^3$, breadth = $7m$ and height = $2m$ ?

1. 10m

2. 7 m

3. 9 m

4. 5 m

Q.

The volume of a room is $8m^3$ and the area of the floor is $2m^2$. Then, what is the height of the room?

1. 4

Q.

A swimming pool of length 12 m and height 7 $\frac{1}{2}$ m can hold 7, 20, 000 litres of water. What is the breadth of the swimming pool ?

1. 7 m

2. 6 m

3. 4 m

4. 8 m

Q. If $l$ is the length of the side of a cube, then represents its volume.

1. $l^3$
2. $l^2$
3. 3$l$

Q.

Find the volume of the prism in the figure.

1. $2c{m}^3$

2. $4c{m}^3$

3. $8c{m}^3$

4. $3c{m}^3$

Q.

A swimming pool of length 10 m and height 6 $\frac{1}{2}$ m can contain 5, 20, 000 litres of water. What is the breadth of the swimming pool?

1. 4 m

2. 8 m

3. 6 m

4. 9 m

Q.

The water in a cubical tank of side 6 m is transferred to completely fill a cuboidal tank of length 2 m, breadth 3 m and height 'h' m. The height of the cuboidal tank (in metres) is ___

1. 26 m

2. 16 m

3. 46 m

4. 36 m

Q. What is the value of 40 litre in cubic centimetres?

1. 4000 cc
2. 400 cc
3. 40000 cc
4. 40 cc

Q. If the volume of a cube is 1331 m³, then length of its side is .

1. 19 m
2. 13 m
3. 11 m

Q.

What is the length of a box if volume=$20,000m^3$, breadth = $25m$ and height = $20m$ ?

1. 9 m

2. 40 m

3. 8 m

4. 30 m

Q.

Find the volume of the cuboid shown below.

1. $200c{m}^3$

2. $210c{m}^3$

3. $60c{m}^3$

4. $50c{m}^3$

Q.

If the area a rectangle is $1633m^2$, what is the volume of a rectangular block whose height is 8m having the same base area as the rectangle?

1. $15064m^3$

2. $15069m^3$

3. $13065m^3$

4. $13064m^3$

Q.

Find the volume of the given cuboid.

1. $11c{m}^3$

2. $15c{m}^3$

3. $18c{m}^3$

4. $24c{m}^3$

Q. Water flows into a tank $200$ m $\times$ $150$ m through a rectangular pipe $1.5m\times 1.25$ m at the rate of $20$ km per hour In what time will the water rise by $2$ metres?

1. $76$ min
2. $80$ min
3. $90$ min
4. $96$ min

Q. The volume of a room is $16m^3$ and the area of the floor is $4m^2$. The height of the room would be .

1. $4m$
2. $8m$
3. $2m$

Q. What is the volume (in ${\text{cm}}^3$) of the following cuboid?

1. 24

Q. By what per cent, the volume of a cube increases, if the length of each edge was increased by $50\%$ ?

1. $237.5\%$
2. $125\%$
3. $273.5\%$
4. $50\%$

Q.

Find the volume of the figure.

1. $100c{m}^3$

2. $120c{m}^3$

3. $80c{m}^3$

4. $110c{m}^3$

Q.

A rectangular tank of length 41 m and height 61 m contains 83, 00, 000 litres of water. What is the breadth of the rectangular tank?

1. 3.11 m

2. 3.21 m

3. 3.32 m

4. 3.42 m

Q. Match the following cuboid shaped oil tanks with their volumes.

1. 36 cu ft
2. 80 cu ft
3. 24 cu ft

Q.

Find the volume of the figure given below.

1. $262i{n}^3$

2. $226i{n}^3$

3. $287i{n}^3$

4. $278i{n}^3$

Q. Match the following cuboid shaped oil tanks with their volumes.

1. 24 cu ft
2. 80 cu ft
3. 36 cu ft

Q. The perimeter of thr top of rectangular table is $28m$, whereas its area is $48m^2$. What is the length of its diagonal?

1. $10$ cm
2. $12$ cm
3. $8$ cm
4. $14$ cm