Monicaa Abhijit Solutions for Chapter: Mensuration-II (Solid Figures), Exercise 1: EXERCISE 18.1

How many cubes of edge $0.5 \mathrm{cm}$ are required to make a cube of side $3 \mathrm{cm}$?

A cuboidal shape gold biscuit is of dimensions $8 \mathrm{cm}\times 5 \mathrm{cm}\times 2 \mathrm{cm}$. From this gold biscuit, small lockets each of volume$2.5 {\mathrm{cm}}^3$ are made. How many such lockets can be made from this gold biscuit?

Two cubes are such that the length of the side of cube I is twice the length of the side of cube II. Find the ratio of the volume of cube I to that of cube II.

How many alarm clocks of size $5\mathrm{cm}\times 10\mathrm{cm}\times 10\mathrm{cm}$ can be a packed into a box of size $1 \mathrm{m}\times \frac{1}{2}\mathrm{m}\times \frac{3}{4}\mathrm{m}$ ?

Three cubes having edges $18 \mathrm{cm},24 \mathrm{cm}$and $30 \mathrm{cm}$ respectively are melted and made into a new cube. Find the edge of the new cube so formed.

The outer dimensions of a jewellery box made of wood are $20 \mathrm{cm} \times 16 \mathrm{cm} \times 8 \mathrm{cm}$ The thickness of the wood is $1 \mathrm{cm}$. Find the total cost of wood required to make the box, if $1 {\mathrm{cm}}^3$ of wood costs $₹ 2.50$

An aluminium sheet is of dimension $38 \mathrm{cm}\times 38 \mathrm{cm}$. From each of its comers, a square of $4 \mathrm{cm}$ is cut. An open box is made of the remaining sheet. Find the volume of the box.

A locality in Delhi having a population of $1,200$ requires $150 \mathrm{L}$ water per head, per day. It has a big tank measuring $30 \mathrm{m}\times 25 \mathrm{m}\times 10 \mathrm{m}$. For how many days will the water of this tank last?