Lateral Surface Area of a Cuboid

Q.

A tank with length, breadth and height of 5, 6 and 3 units respectively is open at the top. Find the cost of anti-microbial coating inside the tank at the rate of ₹10 per sq. units.

1. ₹1260

2. ₹1060

3. ₹1160

4. ₹960

Q.

The lateral surface area of a cuboid = the perimeter of the base $\times$ height of the room.

1. True

2. False

Q.

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

1. $x^2{y}^2{z}^2$

2. $xyz$

3. $x^3{y}^3{z}^3$

4. $2xyz$

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

1. 12 m, 8 m, 4 m
2. 9 m, 6 m, 3 m
3. 39 m, 26 m, 13 m
4. 36 m, 24 m, 12m

Q. The diameter of a garden roller is 1.4 m and it is 2 m long. Total area covered in 5 revolutions is

1. $4.4{\text{m}}^2$
2. $8.8{\text{m}}^2$
3. $44{\text{m}}^2$
4. $84{\text{m}}^2$

Q. If V is the volume of a cuboid of dimensions a × b × c and A is its surface area, then $\frac{A}{V}$ is

1. $a^2{b}^2{c}^2$
2. $2(\frac{1}{a}+\frac{1}{b}+\frac{1}{c})$
3. $\frac{1}{abc}$
4. $\frac{1}{2}(\frac{1}{ab}+\frac{1}{bc}+\frac{1}{ca})$

Q.

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

1. $100c{m}^2$​

2. $200c{m}^2$​

3. $300c{m}^2$​

4. $400c{m}^2$​

Q.

Ravish wanted to make a temporary shelter for his car by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). How much tarpaulin would be required to make the shelter of height 2.5 m with base dimensions $4m\times 3m?$

1. $47m^2$

2. $37m^2$

3. $30m^2$

4. $54m^2$

Q.

A box has length, breadth and height of $10cm,20cm$ and $5cm$ respectively. The lateral surface area of the box is $200c{m}^2$.

1. 200 cm²

2. 100 cm²

Q.

The length of a room is 20m and its breadth is 5m. The sum of the areas of floor and the ceiling is equal to the area of the four walls. Find the height of the room.

1. $4m$

2. $5m$

3. $6m$

4. $10m$