Lateral Surface Area of a Cuboid

Q.

The floor of a rectangular hall has a perimeter$250m.$ If the cost of painting the four walls at the rate of $Rs.10per{m}^2$ is $Rs.15000$ find the height of the hall.

Q.

The total cost to paint all the 4 walls of a room whose length, breadth and height are 10 m, 20 m and 5 m respectively at the rate of ₹ 10 per sq. meter is ₹ 7000.

Q. The length, breadth and height of a cuboid are given as 8cm, 6cm and 4cm. Then LSA of cuboid is equal to:

1. 112 sq.cm
2. 114 sq.cm
3. 116 sq.cm
4. 118 sq.cm

Q. The length, breadth and height of a cuboid are given as 12cm, 10cm and 6cm. Then LSA of cuboid is equal to:

1. 268 sq.cm
2. 260 sq.cm
3. 264 sq.cm
4. 262 sq.cm

Q.

A suitcase with measures$80cmx48cmx24cm$ is to be covered with a tarpaulin cloth. How many meters of tarpaulin of width $96cm$ is required to cover $100$ such suitcases?

Q.

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

1. ₹. 1260

2. ₹ 1060

3. ₹ 1160

4. ₹ 960

Q. Find the total surface area of a cuboid whose length, breadth, and height are 7.5 m, 3 m, and 5 m, respectively.

1. $115m^2$
2. $120m^2$
3. $150m^2$
4. $90m^2$

Q. Lateral surface area of a cuboid which is 8 m long, 6 m broad and 3.5 m high is .

1. 98 $m^2$
2. 49 $m^2$
3. 140 $m^2$

Q.

If the walls in a room are $955$ square feet in area, and a gallon of paint covers $15$ square yards, how many gallons of paint are needed for the room?

($3$ $feet$ $=$$1$$yard$)

Q.

The lateral surface area of a cuboid is 480$m^2$. Its height is 12m. The perimeter of its base is

1. 40 m

2. 36 m

3. 35 m

4. 42 m

Q. Match the following with their corresponding areas.

(TSA - Total Surface Area
LSA - Lateral Surface Area)

1. 2(lb + lh + bh)
2. 2h (l + b)
3. 6$l^2$

Q. The length, breadth and height of a cuboid are 10 cm, 12 cm and 15 cm. Find the lateral surface area of the cuboid.

1. $440c{m}^2$
2. $260c{m}^2$
3. $660c{m}^2$
4. $550c{m}^2$

Q. Rukshar painted the outside of the cabinet of measure $1m\times 2m\times 1.5m.$ How much surface area did she cover if she painted all except the bottom of the cabinet?

Q. LSA of a cuboid having length l, breadth b and height h is equal to :

1. $2h(l+b)$
2. $l^2+b^2+h^2$
3. $lh+bh+lb$
4. $2b(l+h)$

Q.

Question 126 (a) (iii)

Architects design many types of buildings. They draw plans for houses, such as the plant shown in the following figure.

An architect wants to install a decorative moulding around the ceilings in the rooms. The decorative moulding costs Rs. 500/ meter.

Find how much moulding will be needed for dining room

Q. The length of a cinema hall is 20 m and breadth is 16 m. The sum of the areas of floor and flat roof is equal to the areas of four walls. Find the height of the hall.

1. 8.9 m
2. 9.1 m
3. 7.24 m
4. None of these

Q. A hall is $15m$ long and $12m$ broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of the $4$ walls, what is the volume of the hall?

1. $2200m^3$
2. $1500m^3$
3. $1620m^3$
4. $1200m^3$

Q. Find the width of a rectangular swimming pool ( in feet ), if it has a volume of $16,500$ cubic feet, a uniform depth of $10$ feet and a length of $75$ feet.

1. $22$
2. $26$
3. $32$
4. $110$

Q. The perimeter of floor of a room is $25$ metres. If the cost of painting the walls of the room is Rs.$750$ at the rate of Rs. $10$ per sq. metre, then find the height of the room.

Q. In hospital used water is colected in a cylinder tank of diameter 2 m and height 5 m. After recycling., this water is used to irrigate a park of hospital whose length is 25 m and breadth is 20 m . If tank is filled completely then what will be the height of standing water used for irrigating