Volume of a Cuboid

Q. A brick measures $15cm$ in length, $8cm$ in breadth and $5cm$ in height. How many bricks will be used to make a wall of length $1.5m$, breadth $1m$ and height $0.8m$?

1. $2000$
2. $4000$
3. $3000$
4. $1000$

Q.

The dimensions of a cuboid are in the ratio of $1:2:3$ and its total surface area is $88m^2$. The volume of the cuboid is ___ $m^3$

Q.

The diameter of a cylinder jar is increased by 25%. By what percent must the height of the jar be decreased so that there is no change in its volume?

1. 54%

2. 36 %

3. 56.25 %

4. 64%

Q.

One cm³ is equal to _____ mL.

Q. External dimensions of a wooden cuboid are $30cm\times 25cm\times 20cm$. If the thickness of the wood is $2cm$ all around, then find the volume of the wood used to create the hollow cuboid.

1. $6254c{m}^3$
2. $5264c{m}^3$
3. $6664c{m}^3$
4. $6264c{m}^3$

Q. A cuboid of dimensions 24 cm $\times$ 16 cm $\times$ 12 cm is melted to form cubes of edge 8 cm each. How many such cubes can be formed?

1. 7
2. 8
3. 9
4. 10

Q.

The length of a cuboid is $0.3m$. Its breadth and height is $0.03m$ and $0.003m$ respectively. The volume of the cuboid is given as the product of its length, breadth and height. The volume of cuboid is:

1. 0.0027 m³

2. 0.0000027m³

3. 0.00027m³

4. 0.000027m³

Q. Question 4
In one fortnight of a given month, there was a rainfall of 10 cm in a river valley. If the area of the valley is $97280k{m}^2$, show that the total rainfall was approximately equivalent to the addition to the normal water of three rivers each 1072 km long, 75 m wide and 3 m deep.

Q.

A rectangular reservoir is $100m$ long and $50m$ wide. Find the speed of the water flowing into it through a square pipe of side $10cm$ such that the water rises by $1m$ in $10$ hours.

1. $50km/hr$

2. $45km/hr$

3. $30km/hr$

4. $20km/hr$

Q.

A truck burns $1litre$ of diesel for every $3km$ that it covers. The distance between Mumbai and Delhi is $1,429km$. If the cost of a litre of diesel is $₹$$59$, estimate the cost of diesel used if the truck travels from Delhi to Mumbai.

Q. Question 8
Parveen wanted to make a temporary shelter for her car, by making a box-like structure with a tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). Assuming that the stitching margins are very small, and therefore negligible, how many tarpaulins would be required to make the shelter of height 2.5m, with base dimensions $4m\times 3m$?

Q. Three cubes whose edges are x cm, 8cm and 10cm respectively, are melted and re casted into single cube of edge 12cm.find x.

Q.

Volume of a cuboid whose length, breadth and height are $20cm,15cm$ and $10cm$ respectively is _______.

1. $2750c{m}^3$

2. $2500c{m}^3$

3. $3000c{m}^3$

4. $1750c{m}^3$

Q. An Olympic swimming pool is in the shape of a cuboid of dimensions 50 m. long and 25 m. wide. If it is 3 m. deep throughout, how many liters of water does it hold? (1 cu.m = 1000 liters)

Q.

A reservoir in the form of cuboid is $50m$ long. If $20kl$ water is removed from the reservoir, water level goes down by $10cm$. Find the width of the reservoir.

1. $3m$

2. $4m$

3. $5m$

4. $6m$

Q.

There is a thin metal plate having length, breadth and thickness as 2M mm, 2K mm and 1 mm respectively. If ‘N’ plates are placed one on top of the other, what is the object formed and what is its volume in $m{m}^3$?

1. Cuboid, MKN

2. Cylinder, 2MKN

3. Cuboid, 4MKN

4. Sphere, 4MKN

Q. External dimensions of a wooden box is 30 cm x 40 cm x 50 cm. If the thickness of the wood is 2 cm all around, then find the volume of the wood used for the box.

1. 16, 944 cm${}^3$
2. 18, 944 cm${}^3$
3. 15, 944 cm${}^3$
4. 17, 944 cm${}^3$

Q. If the length of a cuboid is doubled, breadth is divided by 4 and height is made 4 times the initial height, then what is the change in the volume of the cuboid?

1. Volume is halved.
2. Volume becomes three times.
3. Volume becomes one third.
4. Volume is doubled.

Q. Question 1 (i)
A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine:
(i)The area of the sheet required for making the box.

Q.

From a $25cm\times 35cm$ rectangular cardboard, an open box is to be made by cutting out identical square of area $25c{m}^2$, one from each corner and turning up the sides. The volume of the box is:

1. $1875c{m}^3$

2. $2175c{m}^3$

3. $1250c{m}^3$

4. $3000c{m}^3$

Q.

How many plastic boxes of size $9cm,6cm,5cm$ can be packed inside a cardboard box of size $36cm,24cm,20cm$?

1. $81$

2. $100$

3. $64$

4. $36$

Q. Ratio of volume and total surface area of a cube of side length 6 m is .

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

Q. If the volumes of two cubes are in the ratio 8: 1, then the ratio of their edges is

(a) 8 : 1

(b) $2\sqrt{2}:1$

(c) 2 : 1

(d) none of these

Q. A storage tank in the form of a cube has water up to its brim. The amount of water in the tank is 4096 m³. After sometime some water was used and , it is found that the depth of water present is 12 m. Find the volume of water used in cubic meters.

1. 1024

Q. A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24 cm × 12cm × 8cm, how many bricks would be required.

Q.

1 litre is equal to how many cubic cms and how many cubic meters?

Q.

If Tanya burns 7 calories for every meter she walks. How many times should she complete the entire track so that she burns 448 calories? (All dimensions are in m and $\pi$ = 22/7)

1. 3

2. 4

3. 2

4. 1

Q. Two rectangular boxes have the same height and length, but different widths as shown in the figure.



The difference in the volumes of the boxes is 360 $c{m}^3$. What is the height of the boxes?

1. 15 cm
2. 16 cm
3. 18 cm
4. 14 cm

Q. How many bricks of 48 cubic units can be stored in a room of dimensions 12 x 4 x 10?

1. 12
2. 48
3. 10
4. 4

Q. A right triangle $ABC$ with sides $5cm$, $12cm$ and $13cm$ is revolved about the side $12cm$. Find the volume of the solid so obtained.