Volume of Cuboid, Cube and Cylinder

The length and breadth of a paper is $33 \mathrm{cm}$ and $16 \mathrm{cm}$ respectively. It is folded about its breadth to form a cylinder. Find the volume of the cylinder.

Find the missing number for a cuboid in the table given below.

Find the edge of a cube whose volume is $3375 {\mathrm{cm}}^3$. Also find its surface area.

The length, breadth and height of a box are $65 \mathrm{cm}, 5 \mathrm{dm}$ and $0.15 \mathrm{m}$  respectively. Find the volume of the box in ${\mathrm{dm}}^3$.

What will happen to the volume of a cube if its edge is increased $3$ times?

A cylindrical water tank is of diameter $7 \mathrm{m}$ and height $2.1 \mathrm{m}$. Find the capacity of the tank in litres.

A box is $3 \mathrm{m}$ long, $40 \mathrm{cm}$ wide and $20 \mathrm{cm}$ high. How many matchboxes can be put in it, if each matchbox measure $3 \mathrm{cm}\times 2 \mathrm{cm}\times 1 \mathrm{cm}$.

$50$ coins of thickness $0.14 \mathrm{cm}$ and radius $1 \mathrm{cm}$ are piled up one above the other. Find the volume of the cylinder thus obtained.

Find the side of the cube whose volume is $216 {\mathrm{cm}}^3$

How many bricks of dimension $20 \mathrm{cm}\times 10 \mathrm{cm}\times 8 \mathrm{cm}$ are required to construct a wall $3 \mathrm{m}$ long, $2 \mathrm{m}$ wide and $30 \mathrm{cm}$ thick (assuming that cement is not occupying any space)?

If the dimensions of a cuboid are in the ratio $2:5:3$ and its total surface area is $248 {\mathrm{cm}}^2$, find the dimensions of the cuboid

Find the length of the longest rod that can be put in a room of dimensions $6 m\times 4 m\times 3 m$.

Find the length of the diagonal and lateral surface area of a cube of edge $6 cm$.

Water is falling in a cylindrical tank from an inlet pipe at the rate of $10 \mathrm{litres}$ per minute. If the diameter and height of the tank are $1 \mathrm{m} \mathrm{and} 7 \mathrm{m}$, respectively, find the time required to fill the tank. 

The area of $4$ walls in a room is $240 m^2$. If its length is twice the breadth and height is $4 m$, find the area of the floor.

The dimensions of a cuboid are in the ratio $4 : 2 : 3$ and its total surface area is $832 m^2$. Find its dimensions.

How many cubical blocks of side $6 cm$ can be cut from a cubical box of thermocol of side $12 dm$?

A metal pipe has a bore (internal diameter) of $5 cm$. The pipe is $2 mm$ thick all around. Find the volume of a $2 m$ long pipe if $1 c{m}^3$ of the metal has a mass of $7.7 g$.

A well of diameter $3 m$ is dug $21 m$ deep. The earth taken out of it is spread evenly all around it to a width of $4 m$ to form an embankment. Find the height of the embankment.

A water tanker is in the shape of a cylinder whose radius is $2 \mathrm{m}$ and length is $14 \mathrm{m}$. How many litres of water can it store? (Hint:$1 {\mathrm{m}}^3=1000 \mathrm{litres}$)