Lateral Surface Area of a Cuboid

Q.

Praveen wanted to make a temporary shelter for her 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) . Assuming that the stitching margins are very small, and therefore negligible, how much tarpaulin would be required to make the shelter of height $2.5m$, with base dimensions $4m\times 3m$?

Q.

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

1. True

2. False

Q.

If length, breadth and height of a cuboid are increased by 20%, what is the percentage increase in the the total surface area of cuboid? [3 MARKS]

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. $10m$

Q. The length of a cuboid is twice its breadth. The breadth is twice its height. Then, the ratio of LSA to TSA is .

1. $3:7$
2. $7:3$
3. $7:2$

Q.

The distance between rooftops of two building of height 20 m and 41 m is 29 m. Find the horizontal distance between them.

1. 11 m

2. 31 m

3. 9 m

4. 20 m

Q. If the diagonal of a quadrilateral shaped field is $24m$ and the perpendiculars dropped on it from the remaining opposite vertices are $8m$ and $13m$, then the area of the field is

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 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 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. ₹960

4. ₹1160

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. The length of a cuboid is twice its breadth. The breadth is twice its height. Then, the ratio of LSA to TSA is .

1. $7:3$
2. $3:7$
3. $7:2$

Q. The length of a cuboid is twice its breadth. The breadth is twice its height. Then, the ratio of LSA to TSA is .

1. $3:7$
2. $7:3$
3. $7:2$

Q.

Find the surface area of the following figure if it is folded along the dotted lines. (all the measurements are in cm)

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.

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 with true or false.

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. 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. 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. 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 length of a cuboid is twice its breadth. The breadth is twice its height. Then, the ratio of LSA to TSA is .

1. $7:2$
2. $7:3$
3. $3:7$

Q. The length of a cuboid is twice its breadth. The breadth is twice its height. Then, the ratio of LSA to TSA is .

1. $3:7$
2. $7:2$
3. $7:3$

Q. The length of a cuboid is twice its breadth. The breadth is twice its height. Then, the ratio of LSA to TSA is .

1. $3:7$
2. $7:2$
3. $7:3$

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 length of a cuboid is twice its breadth. The breadth is twice its height. Then, the ratio of LSA to TSA is .

1. $3:7$
2. $7:2$
3. $7:3$