Lateral Surface Area of a Cuboid

Q. The lateral surface area of a cylinder with radius 3 cm and height 7 cm = cm ${}^2$.

1. 132
2. 198
3. 204
4. 212

Q. Two cylinders of same volume have their heights in the ratio $1:3.$ Find the ratio of their radii.

1. $\sqrt{3}:1$
2. $\sqrt{2}:1$
3. $\sqrt{5}:2$
4. $2:\sqrt{5}$

Q.

The volume of a rectangular block of stone is 10368 $d{m}^3$. If its length, breadth, and height are in the ratio 3 : 2 : 1, then its length, breadth, and height are

1. 36 dm, 18 dm, 4 dm

2. 18 dm, 14 dm, 36 dm

3. 36 dm, 24 dm, 12 dm

4. 36 dm, 18 m, 21 dm

Q.

The total cost to paint all the 4 walls of a room with length, breadth and height as 10 m, 20 m, and 5 m respectively at the rate of Rs. 10 per sq. meter will be:

1. 5000

2. 4000

3. 7000

4. 3000

Q.

The total cost to paint all the 4 walls of a room with length, breadth and height as 10 m, 20 m and 5 m respectively at the rate of Rs. 10 per sq. meter is Rs.7000. State whether the estimation is true or false.

1. True

2. False

Q.

The total cost to paint all the 4 walls of a room with length, breadth and height as 10 m, 20 m and 5 m respectively at the rate of Rs. 10 per sq . meter is Rs.7000. State whether true or false.

1. True

2. False

Q.

Sachin wants to make a pet house for his dog with length, breadth, and height of 3 m, 2 m, and 1 m respectively. What is the area of walls inside the pet house that has to be painted?

1. $15m^2$

2. $10m^2$

3. $25m^2$

4. $20m^2$

Q. The perimeter of the base of a cuboid of height 7 cm is 14 cm. Find the lateral surface area of the cuboid (in ${cm}^2$).

1. 98

Q.

A box has length, breadth, and height of 10 cm, 20 cm, and 5 cm respectively. The lateral surface area of the box is:

1. 100 cm²

2. 200 cm²

3. 300 cm²

4. 400 cm²

Q. A slide projector gives a magnification $10.$ If a slide of dimensions $3$ cm $\times$ $2$ cm is projected on the screen the area of image screen is

1. $600$ cm${}^2$
2. $6000$ cm${}^2$
3. $60$${}^2$ cm${}^2$
4. $6$ cm${}^2$

Q.

Daniel is painting the walls and ceiling of a cuboidal hall with length, breadth and height of $15m$, $10m$ and $7m$ respectively. From each Can of a paint $100m^2$ of area is painted. How many Cans of paint will she need to paint the entire room?

Q.

Volume of Fruit Crate $A$ fruit crate has square ends and is twice as long as it is wide.
$\left(a\right)$ Find the volume of the crate if its width is $20in$.
$\left(b\right)$ Find a formula for the volume $V$ of the crate in terms of its width $x$.

Q.

Find the lateral surface area of the cylinder. Round your answer to the nearest tenth if necessary.

Q.

The areas of three adjacent faces of a cuboid are $x,y$ and $z.$ If the volume of the cuboid is $V$, then $V^2$ is equal to

1. $xyz$
2. $xy+yz+zx$
3. $\left(xyz\right)$${}^2$
4. $\sqrt{xyz}$