Telangana Board Solutions for Chapter: Surface Areas and Volume (Cube and Cuboid), Exercise 2: Exercise 2

What will happen to the volume of a cube if the length of its edge is reduced to half? Is the volume get reduced? If yes, how much?

If the volume of the cube whose sides are$1.6 \mathrm{m}$ is $k {\mathrm{m}}^3$ then find $k$ up to three decimal places.

How many bricks will be required to build a wall of $8 \mathrm{m}$ long, $6 \mathrm{m}$ height and $22.5 \mathrm{cm}$ thick, if each brick measures $25 \mathrm{cm}$ by $11.25 \mathrm{cm}$ by $6 \mathrm{cm}$?

A cuboid is $25 \mathrm{cm}$ long, $15 \mathrm{cm}$ broad, and $8 \mathrm{cm}$ high. If its volume differ from that of a cube with the edge of $16 \mathrm{cm}$ by $k {\mathrm{cm}}^3$, find $k$.

A closed box is made up of wood which is $1 \mathrm{cm}$ thick. The outer dimensions of the box is $5 \mathrm{cm}\times 4 \mathrm{cm}\times 7 \mathrm{cm}$. Find the volume of the wood used.

How many cubes of edge $4 \mathrm{cm}$, each can be cut out from cuboid whose length, breadth and height are $20 \mathrm{cm}, 18 \mathrm{cm}$ and$16 \mathrm{cm}$ respectively.

How many cuboids of size $4 \mathrm{cm}\times 3 \mathrm{cm}\times 2 \mathrm{cm}$ can be made from a cuboid of size $12 \mathrm{cm}\times 9 \mathrm{cm}\times 6 \mathrm{cm}$?

A vessel in the shape of a cuboid is $30 \mathrm{cm}$ long and $25 \mathrm{cm}$ wide. What should be its height to hold $4.5$ litres of water?