A solid cube of $10 \mathrm{cm}$ is cut into two equal halves by slicing diagonally as shown. The difference between the total surface area of both the halves put together and the original total surface area of the cube is  $\mathrm{sq} \mathrm{cm}$. (Give your answer in $1$ decimal place. Take $\surd 2=1.4$)

A copper bar of volume $110 {\mathrm{cm}}^3$ is drawn into a thin copper wire whose diameter is $5 \mathrm{mm}$. The total length of the copper wire drawn is _____ $\mathrm{m}$. (Correct up to one decimal place and use, $\pi =\frac{22}{7}$)

The dimensions of Mr. Shah’s bedroom are $9 \mathrm{m}$ by $8 \mathrm{m}$ by $4.5 \mathrm{m}$. He wants to put a wallpaper, $50 \mathrm{cm}$ wide, on the walls which cost $₹980$ per $\mathrm{m}$. The room has two windows each measuring $1.5 \mathrm{m}$ by $1 \mathrm{m}$ and one door of dimension $2 \mathrm{m}$ by $1.5 \mathrm{m}$. Taking into account $16\%$ wastage of paper, the total cost of papering the walls will be

A candle mould makes candles of diameter $2.5 \mathrm{cm}$ and height $21 \mathrm{cm}$. What is the volume of wax used to make each of these candles? (Assume $\pi =\frac{22}{7}$)

The volume of the L-shaped prism shown below will be?

Metal cubes having $5 \mathrm{mm}$ edge are to be melted to form a right circular cylinder of height $10 \mathrm{cm}$ and diameter $3.5 \mathrm{cm}$. How many metal cubes of this size are required to make the cylinder?

The terrace of a house measures $40’\times 30’$(Consider $1’=0.30 \mathrm{m}$). The rainwater collected on the terrace is sent through a pipe and it completely fills a cylindrical tank of diameter $1.4 \mathrm{m}$ and height $0.5 \mathrm{m}$. Find the height to which the rainwater is collected on the terrace in metre. (Calculate up to $3$ decimal places, Use $\mathrm{\pi }=\frac{22}{7}$)

In a chemical lab, Sowmya transfers all liquid from a beaker filled to the brim to a graduated cylinder. Find the height of the liquid in the graduated cylinder in $\mathrm{cm}$. (Consider $1"= 2.5 \mathrm{cm}$)

(Use $\pi =\frac{22}{7}$)

From a cuboid measuring $12 \mathrm{cm}\times 4 \mathrm{cm}\times 8 \mathrm{cm}$, a smaller cuboid measuring $4 \mathrm{cm}\times 6 \mathrm{cm}\times 4 \mathrm{cm}$ was cut out. Find the surface area of the remaining bigger cuboid in square centimetre.