Volume of Cube and Cuboid

Q.

If 'l', 'b', and 'h' are the length, breadth, and height of the rectangular box respectively, then the product of the areas of all the faces of the box is equal to

1. the volume of the box

2. the square root of the volume

3. twice the volume

4. square of the volume

Q. The capacity of a right circular cylinder of radius and height 7 cm and 14 cm respectively iscm${}^3$

1. 1456
2. 2156
3. 2420

Q. Volume of hemisphere whose radius is 3 cm is ___ cm³

1. 27π
2. 9.5π
3. 6π
4. 18π

Q.
Two cubes of equal volume are joined to form a cuboid.
If each side of cube is 'a' cm long, then
the volume of this cuboid = $2a^3$

1. True
2. False

Q. If the radius of a sphere is doubled, how many times does its volume become?

1. 2 times
2. 4 times
3. 6 times
4. 8 times

Q.

What is the volume of a cube with edges of length 10 m?

1. 1, 000 Cubic Metres

2. 10, 000 Cubic Metres

3. 100 Cubic Metres

4. 10 Cubic Metres

Q. Each face of a cube is a

1. triangle
2. square
3. rhombus
4. rectangle

Q.

A $3\times 3$ Rubik's cube has a total surface area of $54{\text{cm}}^2$. The area occupied by every single red tile of the cube is ___________ .

1. $0.25{\text{cm}}^2$

2. $1{\text{cm}}^2$

3. $3{\text{cm}}^2$

4. $9{\text{cm}}^2$

Q. A river of 5 $\text{m}$ width and 2 $\text{m}$ depth flows with a speed of 20 $\text{km/hr}$. Water from this river is used to irrigate a field of area $x{\text{m}}^2$. The field is filled with water to a height of 0.5 $\text{m}$. If it takes 30 minutes to irrigate the field, then find $x$.

1. $2,00,000m^2$
2. $4,00,000m^2$
3. $400m^2$
4. $200m^2$

Q.

A samsung tablet is to be sent as a gift to a person. The shopkeeper has to wrap the tablet which is in a box of dimensions 20 cm $\times$ 10 cm $\times$ 5 cm. How much paper would be required to wrap it? (assuming negligible thickness)

1. 1000$c{m}^3$

2. 300$c{m}^2$

3. 700$c{m}^2$

4. 500$c{m}^3$

Q. Find the volume of the cuboid shown below.

1. $45m^3$
2. $90m^3$
3. $45,000m^3$
4. $90,000m^3$

Q. If a cuboidal carton has length 80 cm, breadth 40 cm and height 60 cm, then the volume of the carton is .

1. $192000c{m}^3$
2. $100000c{m}^3$
3. $2000c{m}^3$
4. $19200c{m}^3$

Q.

A water container can hold 40 litres of water. Then find the total number of ice cubes of side 5 cm which the container can hold.

1. 200

2. 320

3. 480

4. 280