Embibe Experts Solutions for Chapter: Advance Maths, Exercise 5: Exercise 5

The number of bricks, each measuring$25 \mathrm{cm}\times 12 \mathrm{cm}\times 45 \mathrm{cm}$, needed to construct a wall $10 \mathrm{m}$ long, $5 \mathrm{m}$ high, and $50 \mathrm{cm}$ thick, is _____.

The radius of a circle is twice the side of a square, whose area is $196 {\mathrm{m}}^2$. The length of the rectangle is twice the diameter of the circle. What is the perimeter of a rectangle if its breadth is half the length?

A hollow cylindrical iron pipe is of length $28 \mathrm{cm}$. Its outer and inner diameters are $8 \mathrm{cm} \mathrm{and} 6 \mathrm{cm}$ respectively. Find the weight of the pipe. If $1 {\mathrm{cm}}^3$ Of iron weights $7 \mathrm{gm}$.

The height of a circular cylinder is $14 \mathrm{cm}$ and its curved surface area is $704 {\mathrm{m}}^2$. Then find the volume of right circular cylinder. 

The height of a right prism with a square base is $15 \mathrm{cm}$. If the area of the total surface of the prism is $608 {\mathrm{cm}}^2$, its volume is -

Seven equal cubes of each side $5 \mathrm{cm}$ are joined end to end. Find the surface area of the resulting cuboid?

The radii of two cylinders are in the ratio $2:3$ and their curved surface areas are in the ratio $5:3$. What is the ratio of their volumes?

A right circular cone is $3.6 \mathrm{cm}$ high and the radius of its base is $1.6 \mathrm{cm}$. It is melted and recast into a right circular cone with a radius of its base of $1.2 \mathrm{cm}$, then find the height of the cone (in $\mathrm{cm}$).