Volume of Cube

Q.

The volume of a cube whose edge is 24 m is 1296 m³ .

1. True

2. False

Q. The length of the longest rod that can be fitted in a cubical room of edge length 4 cm is:

1. 8.66 m
2. 5.196 m
3. 6.928 m
4. 7.264 m

Q.

A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The difference between total surface area of the two solids is ______ cm².

1. 296

2. 280

3. 284

4. 286

Q. Two cubes have volumes in the ratio $1:64$. The ratio of their sides is ____.

1. $1:3$
2. $1:4$
3. $1:8$
4. $8:1$

Q. The volume of a cube is 64 cc. Its side is _____ long.

1. 3 cm
2. 4 cm
3. 5 cm
4. 6 cm

Q.

How many small cuboids with dimensions 20 cm $\times$ 25 cm $\times$ 40 cm each can be accommodated in a cubical box of edge 2 m ?

1. 0.004

2. 4000

3. None of the above

4. 400

Q. Each side of a cube is increased by 50%. Then the surface area of the cube is increased by:

1. 50%
2. 150%
3. 100%
4. 125%

Q. How many small cubes of edges 5 cm each can be accommodated in a cubical box with edge length 10 cm?

1. 4
2. 8
3. 2
4. 3

Q. The cost of painting the whole surface area of a cube at the rate of 13 paise per cm² is ₹343.98. Then, find the volume of the cube.

1. $10648c{m}^3$
2. $6859c{m}^3$
3. $8000c{m}^3$
4. $9261c{m}^3$

Q. How many small cubes of edge length 2 cm each can be accommodated in a cubical box with edge length 6 cm?

1. 15
2. 18
3. 27
4. 21