Volume of a cuboid

Q.

$\text{How many bricks will be required to construct a wall 8 m long, 6m high and 22.5 cm thick if each brick measures}25m\times 11.25cm\times 6cm.?$

Q.

A metallic sheet is of the rectangular shape with dimensions 48 cm* 36 cm from each one of its corners a square of 8 cm is cut off. An open box is made of the remaining sheet. find the volume of each box.

Q.

The breadth of a room is twice its height, one half of its length and the volume of the room is 512 cu. dm. Find its dimensions

Q. A cube has numerically equal surface area and volume. Find the edge of such a cube.

Q.

Question 4
Find the cost of digging a cuboidal pit 8 m long, 6 m broad and 3 m deep at the rate of $Rs30per{m}^3$.

Q.

A beam 9 m long, 40 cm wide and 20 cm high is made up of iron which weighs 50 kg per cubic metre. The weight of the beam is

(a) 27 kg (b) 48 kg (c) 36 kg (d) 56 kg

Q.

If the areas of the adjacent faces of a rectangular block are in the ratio 2 : 3 : 4 and its volume is 9000 $c{m}^3,$ then the length of the shortest edge is

1. 20 cm

2. 10 cm

3. 15 cm

4. 30 cm

Q.

An overhead water tanker is in the shape of cylinder has the capacity of $616$ litres. The diameter of the tank is $5.6m.$ find the height of the tank.

Q.

$\text{In a shower, 5 cm of rain falls. Find the volume of water that falls on 2 hectares of ground.}$

Q.

A field is in the form of a rectangle of length 18 m and width 15 m. A pit, 7.5 m long, 6 m broad and 0.8 m deep, is dug in a corner of the field and the earth taken out is spread over the remaining area of the field. Find out the extent to which the level of the field has been raised.

Q.

Water in a canal 30 dm wide and 12 dm deep, is flowing with a velocity of 100 km per hour. How much area will it irrigate in 30 minutes if 8 cm of standing water is desired?

Q.

A cubical vessel is 10 m long and 8 m wide. How high must it be made to hold 380 cubic metres of a liquid?

Q.

If the volume of the parallelopiped with $a,b,$ and $c$ as coteminous edges is $40$ cubic units, then the volume of the parallelopiped having $b+c,c+a,$ and $a+b$ as coterminous edges in cubic units is

1. $80$

2. $120$

3. $160$

4. $40$

Q.

Find the volume of a right circular cylinder of height $21cm$ and base radius $5cm$.

Q.

If the areas of three adjacent faces of a cuboid are 8 $c{m}^2,18c{m}^{2}and25c{m}^2$, Find the volume of the cuboid.

Q.

If $25$ meters of cloth costs $Rs.337.50$ then
What will be the length of the cloth bought for $Rs.810$ ?

Q. A godown measures 40m×25m×15m. Find the maximum number of wooden crates each measuring 1.5m×1.25m×0.5m that can be stored in the godown.

Q. Question 8 (i)
30 circular plates, each of radius 14 cm and thickness 3 cm are placed one above the another to form a cylinder solid. Find

(i) The total surface area.

Q.

The length, breadth and height of a cuboid are 15 cm, 12 cm and 4.5 cm respectively.Its volume is
$\left(a\right)243c{m}^3\left(b\right)405c{m}^3\left(c\right)810c{m}^3\left(d\right)603c{m}^3$

Q.

What is the formula of volume of a hollow sphere?

Q.

The number of cubes of side 3 cm that can be cut from a cuboid of dimensions $9cm\times 9cm\times 6cm,$ is

1. 20

2. 9

3. 10

4. 18

Q.

Unit of measurement for area of any plane figure is taken as

1. m²

2. km²

3. All of the given options are correct.

4. cm²

Q.

If two cubes of side 6 cm are joined face to face, then find the volume of the resulting cuboid.

Q.

Volume of a cuboid is 12$c{m}^3.$ The volume $\left(inc{m}^3\right)$ of a cuboid whose sides are double of the above cuboid is

1. 24

2. 96

3. 48

4. 72

Q.

The area of a playground is 4800m² . Find the cost of covering it with gravel 1 cm deep if the gravel cost ₹260 per cubic meter .

Q.

A godown measures $40m\times 25m\times 10m.$Find the maximum number of wooden crates each measuring $1.5m\times 1.25m\times 0.5m$ that can be stored in the godown.

Q.

There are 2 cubes A and B each of volume $Xc{m}^3$. Cube B is cut into smaller cubes each of volume $Yc{m}^3$. The surface area and volumes of the resulting cubes are compared

S1: The ratio of volumes of A and B = 1:1

S2: The ratio of surface areas of A and B = 1:1

1. S1 and S2 are true

2. S1 is false but S2 is true

3. S1 is true but S2 is false

4. S1 and S2 are false

Q.

$\text{How many persons can be accoummodated in a dining hall of dimensions}(20m\times 16m\times 4.5m),\text{assuming thatg each person requires 5 cubic metres of air ?}$

Q.

How many persons can be accommodated in a dining hall of dimensions $(20m\times 15m\times 4.5m)$, assuming that each person requires $5m^3$ of air?

(a) 250 (b) 270 (c) 320 (d)300

Q. A wall of length 10m was to be built across an open ground. The height of the wall is 4m and thickness of the wall is 24cm. If this wall is to be built up with bricks whose dimensions are 24cm*20cm*8cm, then how many bricks would be required?