cube Questions

The difference between the total surface area and lateral surface area of a cube, if side of the cube is 11cm (in square cm), is ___________.

The diagonal of a cubical block of wood is
192

​
cm. Find its volume.

What is the side of a cube (in metres) in which an iron rod of maximum length $10\text{ metres}$ can be put?

The volume of a cube is 64cm
3
. The total surface area of the cube is:

Three solid iron cubes of edges 8 cm, 10 cm and 12 cm are melted together to make a new cube. It is observed that 496 cm³ of the melted material is lost due to improper handling. The area (in cm²) of the whole surface of the newly formed cube is:

A solid metallic sphere of radius 4 cm is melted and recast into 4 identical cubes. What is the side of the cube?

The total surface area of a cube is $294{\text{cm}}^2$. What is the length of its diagonal?

The diagonal of a cube is 5
3

​
cm. Find the surface area of the cube.

A cube has a surface area of 5400square units. Its volume would increase approximately _______ if the side is increased by 5units.

Find the total surface area of a cube whose volume is 64cm
3
.

If diagonal of a cube is
108

​
 cm, then the volume (in cm
3
) of the cube is:

What is the volume of a cube whose side is $2.7\text{m}$ long?

What is the volume of the cube (in cubic $\text{cm}$) whose diagonal measures $4\sqrt{3}\text{cm}$?

If the numerical values of the total surface area and the volume of a cube are equal, then the length of its diagonal is

The percentage increase in the surface area of a cube when each side doubled is

If the edge of a cube is increased by $25\%$, then the percentage increase in its surface area is: