Subject Experts Solutions for Chapter: Mensuration, Exercise 4: Worksheet 4

A matchbox measures $(4\times 2.5\times 1.5) {\mathrm{cm}}^3$. What will be the volume of a box containing $12$ such matchboxes and how many such packets can be placed in a cardboard box, whose size is $\left(60\times 30\times 20\right) {\mathrm{cm}}^3?$

If the volume of a cube is $k {\mathrm{cm}}^3$, whose side is $1.1 \mathrm{cm}$, then find the value of $k$.

How many cubes of volume $125 {\mathrm{cm}}^3$ can be obtained from a cube, whose side ( or edge) is $10 \mathrm{cm}$?

Three metal cubes of sides $3 \mathrm{cm}$, $4 \mathrm{cm}$ and $5 \mathrm{cm}$ are melted to form a new cube. Find the side of the new cube in $\mathrm{cm}.$

The area of the base of a right circular cylinder is $154 {\mathrm{cm}}^2$ and its height is $15 \mathrm{cm}$. Find the volume of the cylinder in ${\mathrm{cm}}^3$.

A square sheet of paper is converted into a cylinder by rolling it along its side. If the ratio of the base radius to the side of the square is $A\pi$. Find $A$.

A water tank is in the form of a cylinder, whose radius is $2 \mathrm{m}$ and length is $21 \mathrm{m}$. Find the quantity of water in litres that can be stored in the tank? $\left\{\mathrm{\pi }=\frac{22}{7}\right\}$

Water is being poured into a cuboidal tank at the rate of $80 \mathrm{L}/\min$. If the volume of tank is $14.4 {\mathrm{m}}^3$, then find the number of hours it will take to fill the tank