Volume of a Cube

Q.

Choose the cube of minimum capacity.

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. 280

2. 286

3. 296

4. 284

Q. A solid cubical block of fine wood costs ₹256 at the rate of ₹500/m${}^3$. Find the length of each side.

1. 120 cm
2. 90 cm

3. 80 cm

4. 70 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. None of the above

2. 4000

3. 400

4. 0.004

Q.

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

1. False

2. True

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

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

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

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. The volume of a cube whose edge is 3 units long is _____.

1. 27 cubic units
2. 21 cubic units
3. 8 cubic units
4. 36 cubic units

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