Cube

The length of each edge of three cubes are $6 \mathrm{cm},8 \mathrm{cm}$ and $10 \mathrm{cm}$ respectively. These are melted and moulded into a new cube. Each edge of the new cube measures:

The length of diagonal of a cube is $4\sqrt{3} \mathrm{cm}$. Its volume is:

The length of diagonal of a cube is $14\sqrt{3} \mathrm{cm}$. The surface area of the cube is :

The surface area of a cube is $600{ \mathrm{cm}}^2$. The length of its diagonal is

The surface area of a cube is $1176{ \mathrm{cm}}^2$. The volume of the cube is :

If the area of the base of a cone is $770{ \mathrm{cm}}^2$ and the area of its curved surface is $814{ \mathrm{cm}}^2$, then its volume is

The volume of a right circular cylinder is the same as that of a sphere and their radii are equal. If the height of the cylinder be $\mathrm{h}$ and the diameter of sphere be $\mathrm{d},$ then which of the following is a true statement ?

A cone, a hemi-sphere and a cylinder have the same base radius and same height. Their volumes are in the ratio:

How many bullets can be made out of a cube of lead whose edge measures $22 \mathrm{cm}$, each bullet being $2 \mathrm{cm}$ in diameter ?

A metallic cube has each one of its sides of length $12 \mathrm{cm}$. It is melted and recast into three small cubes. Out of these cubes two have their sides as $6 \mathrm{cm}$ and $8 \mathrm{cm}$ respectively. The length of each side of the third cube is:

If each side of a cube is doubled, then what will be the percentage increase in its whole surface area?

On increasing each side of a cube by $20\%$, what will be the percentage increase in its volume?

The volumes of two cubes are in the ratio $27 : 64$. Then, the areas of their total surfaces are in the ratio

The sum of the sides of a cube and that of a rectangular parallelepiped are the same. The ratio of the volume of the cube to that of the parallelepiped is ______.

The length of diagonal of a cube is $17.32 \mathrm{cm}$. Find its volume.

A metal sheet $27 \mathrm{cm}$ long, $8 \mathrm{cm}$ broad and $1 \mathrm{cm}$ thick is melted into a cube. The difference between the surface areas of two solids will be: