Volume

Q.

Question 49

___of a solid is the measurement of the space occupied by it.

Q. Which kind of measure among the given option would you use to measure the milk in a glass?

1. ml
2. kg
3. km
4. m

Q.

Simplify $\frac{{27}^{\frac{2}{3}}}{9^{\frac{1}{2}}\cdot 3^{\frac{3}{2}}}$

1. √3

2. 1÷√3

3. 3√3

4. 1÷3√3

Q. The volume of a cube is 9261000 $m^3$. Find the side of the cube.

1. 210
2. 2100
3. -210
4. -2100

Q. The volume of water required to fill the cuboid shaped water tank as shown is cu in.

1. $\frac{308}{45}$
2. $\frac{155}{70}$
3. $\frac{308}{70}$
4. $\frac{154}{70}$

Q. The volume of a cuboidal room is 80 m³. The area of the floor is 20 m². Find the height of the room.

1. 1
2. 2
3. 3
4. 4

Q. $200m^3$ of water is to be used to irrigate a rectangular field whose area is $1000m^2$. What should be the height of the water level in the field?

1. 0.8
2. 0.2
3. 0.5
4. 0.6

Q.

Question 23

A covered wooden box has the inner measures as 115 cm, 75 cm and 35 and thickness of wood as 2.5. cm. The volume of the wood is
(a) $85000c{m}^3$ (b) $80000c{m}^3$
(c) $82125c{m}^3$ (d) $84000c{m}^3$

Q. Renuka has a square plot with measurements as shown in the figure. She wants to construct a house in the middle of the plot. A garden is constructed around the house. The total cost of constructing a garden around the house at the rate of Rs 55 per $m^2$ is ___.

1. Rs.18500
2. Rs.17500
3. Rs.16500
4. Rs.16400

Q. Find the height of a cuboid whose base area is $180$ sq. cm and volume is $900$ cu. cm?

Q. A rectangular water tank of base $12m\times 10m$ contains water upto a height of 4 m. If the water in the tank is transferred to a square tank of side 8m, find the height of the water level in the tank. (in m)

Q. The volume of a cuboidal room is 80 m³. The area of the floor is 20 m². Find the height of the room.

1. 1
2. 2
3. 3
4. 4

Q.

is there any difference between capacity and volume ?

Q. A rectangular tank can hold 650 litres of milk. If it is 130 cm long and 250 cm wide, then the height of the tank is _____.

1. 20 cm
2. 25 cm
3. 30 cm
4. 35 cm