R K Bansal Solutions for Chapter: Surface Area, Volume and Capacity (Cuboid , Cube and Cylinder), Exercise 3: EXERCISE 21(C)

A cube of edge $6 \mathrm{cm}$ and a cuboid with dimensions $4 \mathrm{cm}\times x \mathrm{cm}\times 15 \mathrm{cm}$ are equal in volume. If the total surface area of the cube is $k {\mathrm{cm}}^2$, find $k$.

A cube of edge $6 \mathrm{cm}$ and a cuboid with dimensions $4 \mathrm{cm}\times x \mathrm{cm}\times 15 \mathrm{cm}$ are equal in volume. Find which of these two has greater surface and by how much ?

The capacity of a rectangular tank is $5.2{ \mathrm{m}}^3$ and the area of its base is $2.6\times {10}^4{ \mathrm{cm}}^2$. If its height (depth) is $k \mathrm{m}$, find $k$.

The height of a rectangular solid is $5$ times its width and its length is $8$ times its height. If the volume of the wall is $102.4{ \mathrm{cm}}^3$. If its length is $k \mathrm{cm}$, find $k$.

The ratio between the lengths of the edges of two cubes is $3:2$. Find the ratio between their total surface areas.

The ratio between the lengths of the edges of two cubes $3:2$. Find the ratio between their volumes.

The length, breadth and height of a cuboid (rectangular solid) are $4:3:2$. Its surface area is $2548{ \mathrm{cm}}^2$. If its volume is $k {\mathrm{cm}}^3$, find $k$.

The length, breadth and height of a cuboid (rectangular solid) are $4:3:2$. Its volume is $3000{ \mathrm{m}}^3$. If its surface area is $k {\mathrm{m}}^2$, find $k$.