Capacity

Q.

When water freezes its volume increases by 4%. What volume of water is required to make 221 cm³ of ice?

Q. A river 2m deep and 45m wide is flowing at the rate of 3km/h. Find the quantity of the water that runs into the sea per minute

Q.

A field is $80m$ long and $50m$ broad. In one corner of field, a pit which is $10m$ long, $7.5m$ broad and $8m$ deep has been dug out. The earth taken out of it is evenly spread over the remaining part of field. Find the rise in level of field.

Q. How much water will a tank hold if the interior diameter of the tank is 1.6 m and its depth is 0.7 m?

Q.

How many wooden cubical blocks of side 25 cm can be cut from log of wood of size 3 m by 75 cm by 50 cm, assume that there is no wastage.

Q. Water is pouring into a reservoir at the rate of 60litre per minute if the volume of the Reservoir is 108m^3 find the number of hours it will take to fill the reservoir.
​​​

Q. For rain water harvesting a tank of length 10 m, breadth 6 m and depth 3 m is built. What is the capacity of the tank? How many litre of water can it hold?

Q.

The dimensions of a field 15 m by 12 m. A pit 7.5 M long 6 metre wide and 1.5 m Deep is dug at one corner off the field, the earth removed is evenly spread over the remaining area of the field calculate the rise in the level of the field.

Q.

Water from a cylindrical water tank of height 10.5m and a base with diameter 4.2m is emptied into a cuboidal water tank of dimensions 15m*7m*6m. Find the height of water in the cuboidal water tank

Q.

Water capacity of a cuboidal tank is 25 liters. Find its volume in cubic meters.

1. 0.25 m³

2. 0.0025 m³

3. 0.025 m³

4. 0.0125 m³

Q. A closed box is made of 2 cm thick wood with dimensions 84 cm × 75 cm × 64 cm. Find the volume of the wood required to make the box.

Q.

A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal. How much sheet of metal is required?

Q.

A box is of dimension $54cm\times 45cm\times 300cm$. How many soaps can be fitted in it if each measure $9cm\times 5cm\times 3cm$.

Q. The capacity of a rectangular tank is 5.2m³ and the area of its base is2.6*10⁴cm² ; find its height

Q.

A water tank is in a form of cube with edge 2 m. Find its volume.

1. 8 m³

2. 16 m³

3. 4 m³

4. 12 m³

Q. If 40 sq.feet of sheet metal are to be used in the construction of an open tank with a square base find the dimensions of maximum volume

Q.

If the side of an open cubical box is 3.25 cm, how many litres of air does it contain?

Q.

A wanter tanker is 15 cm long , 20 cm wide and 10 cm high. The tanker is half filled with water . Find the volume of water in the tanker.

Q. A cubical box is of length 24 cm. Small soaps of measurements 6 cm × 4.5 cm × 40 mm are to be packed in the box, so that no space is left. Find how many soaps can be packed in each box?

1. 183
2. 128
3. 146
4. 135

Q.

Find the high height of a cuboidal water tank (in $m$ )if volume of the tank is $32000d{m}^3$ and area of base is $1600d{m}^2$.

Q.

Given a cylindrical tank, in which situation will you find surface area and in which situation volume.

(a) To find how much it can hold

(b) Number of cement bags required to plaster it

(c) To find the number of smaller tanks that can be filled with water from it.

Q.

If the volume of a cubical tank is 125 m³, then its side is:

1. 5 m

2. 7 m

3. 4 m

4. 25 m

Q.

A milk tank is in the form of cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in litres that can be stored in the tank?

Q.

Water is pouring into the reservoir at the rate of 60 liters per minute. If the volume of the reservoir is 108m3, find the number of hours it will take to fill the reservoir

Q.

Question 118

A rectangular examination hall having seats for 500 candidates has to be built so, as to allow 4 cubic metres of air and 0.5 square metres of floor area per candidate. If the length of hall be 25m, find the height and breadth of the hall.

Q. The capacity of a cuboidal tank to contain milk is 35 litres. Find its capacity in cubic metres.

1. 0.0358 $m^3$
2. 0.0035 $m^3$
3. 0.035 $m^3$
4. 3.5 $m^3$

Q.

A tank, which is cuboidal in shape, has volume 6.4 m³. The length and breadth of the base are 2 m and 1.6 m respectively. Find the depth of the tank.

Q. warer is pouring into a cuboidal reservoir at the rate of 60 litres per minute. If the volume of reservoir is 108m3. Find the number of hours it will take to fill the reservoir. If the area of base of cuboid is 24m3, find the height of the cuboid.

Q. A lorry carrier measures $10\text{m}\times 7\text{m}\times 5\text{m}.$ Find the maximum number of wooden crates each measuring $2\text{m}\times 1\text{m}\times 0.5\text{m}$ that can be transported inside the lorry.

Q. Tick (✓) the correct answer:
An iron beam is 9 m long, 40 cm wide and 20 cm high. If 1 cubic metre of iron weighs 50 kg, what is the weight of the beam?
(a) 56 kg
(b) 48 kg
(c) 36 kg
(d) 27 kg