Surface Area of a Combination of Solids

The total surface area of a cube which exactly fits Inside the sphere of radius $1 \mathrm{cm}$ is given by:

Curved surface area (in square units) of a cylinder whose base diameter $\text{'}d\text{'}$units and height $\text{'}h\text{'}$ units is.

A metal Suitcase is to be made $6 m$ long, $28 m$ broad and $1.3 m$ in height. How much area of metal sheet is required to make this box.

$3$ cubes each of side $5 \mathrm{cm}$ are joined into end. Find the surface area of the resulting cuboid.

The paint in a container is sufficient to paint an area equal to $3.96 {\mathrm{m}}^2$. How many cuboid boxes measuring $15 \mathrm{cm}$ by $12 \mathrm{cm}$ by $8 \mathrm{cm}$ can be painted with the paint in this container?

A cubical box has each edge $15 \mathrm{c}\mathrm{m}$ and another cuboidal box is having $l, b$and $h$ as $16.5 \mathrm{cm}, 12 \mathrm{cm},$and $7 \mathrm{c}\mathrm{m}$ respectively. Find out which box has the smaller total surface area.

Shown below is a solid made by joining a right circular cylinder and a hemisphere of equal radius ($r \mathrm{cm}$). The total surface area of the solid is equal to the surface area of a sphere with twice the radius of this solid.

Which of the following gives the height of the cylinder in the above solid?

The diameter of hollow cone is equal to the diameter of spherical ball. If the ball is placed at the base of the cone, what portion of the ball will be outside the cone?

Ram Mandir is constructed in the form of the cubical base of $30 cm \times 20 cm \times 10 cm$, then find the area covered.

Akhil runs a toy manufacturing company. He produces a wide variety of toys suitable for kids of different ages. One of his toys is in the shape of a cone. If the diameter of the base of the right circular cone is $21 \mathrm{m}$ and height $14 \mathrm{m}$. Find the area of the curved surface area of the cone in ${\mathrm{m}}^2$.

Akhil runs a toy manufacturing company. He produces a wide variety of toys suitable for kids of different ages. Calculate the cost required to paint a ball that is in the shape of a sphere having a radius of $14 \mathrm{cm}$. If the cost of painting the ball is $₹3.5/\mathrm{square} \mathrm{cm}$. Take $\left(\mathrm{\pi }=\frac{22}{7}\right)$

Jumbo circus team is a very famous circus company in south India. They roam around in the different parts of the counts and host the circus treat for the people. When they are settling at a place, they will erect their huge circus tent for performing the show and small tents for them to stay in those days. The stage tent consists of a cylinder capped by a cone.

The height and radius of the base of a conical portion is $21$ metre and $28$ metre. To make this conical part, a cloth is chosen which have a breadth of $8.8$ metres. What will be the cost of the cloth to make the tent if the cost of the cloth per metre length is $₹25$?

The total surface area of a sphere is $154 {\mathrm{cm}}^2$. Find the diameter of the sphere in $\left(\mathrm{cm}\right)$

If the surface area of a sphere whose radius is given by $4.2 \mathrm{cm}$ is $k {\mathrm{cm}}^2$, then find the value of k. Use $\left(\mathrm{\pi }=\frac{22}{7}\right)$

Calculate the cost required to paint a ball which is in the shape of a sphere having a radius of $14 \mathrm{cm}$. If the cost of painting the ball is $₹3.5/\mathrm{square} \mathrm{cm}$. Take $\left(\mathrm{\pi }=\frac{22}{7}\right)$

If the total surface area of the cube having side $3.5 \mathrm{cm}$ is $k {\mathrm{cm}}^2$, find the value of $k$

The ratio of slant height and radius of a cone is $7:4$. If its curved surface area is $792 {\mathrm{cm}}^2$, then find its radius in $\mathrm{cm}$.

The bases of two cones are of the same diameter. Ratio of their slant heights is $5:4$. If curved surface area of the smaller cone is $400 {\mathrm{cm}}^2$, then find the curved surface area of the bigger cone in ${\mathrm{cm}}^2$.

Find the height$\left(\mathrm{in} \mathrm{cm}\right)$of the right circular cone of slant height $25 \mathrm{cm}$ and area of its base is $154 {\mathrm{cm}}^2$.

Find the total surface area of cone in ${\mathrm{m}}^2$, whose diameter of base is $14 \mathrm{m}$, and slant height is $25 \mathrm{m}$.