Total Surface Area of Cuboid

Q.

The dimensions of a cuboidal tin are $30cm\times 40cm\times 50cm$ . Find the cost of tin required for making $20$ tin , if the cost of the tin sheet is $Rs.20$ per $m^2$

Q. What is the lateral surface area of a cuboid of length l, breadth b and height h ?

1. 4(lb+bh+hl)
2. 2(lb+bh)
3. 2(lh +bh)
4. 2(lb+bh+hl)

Q. An aquarium os in the form of a cuboid whose external measures are 80cm×30cm×40cm. The base, side face and back face are to be covered with a colored paper. The area of the colored paper required is?
a.32000cm^2 b.4600cm^2 c. 7500cm^2 d.8000cm^2

Q.

The area of the base of a cuboid is 45cm2. It is height is 6 cm. Find the volume

Q. Two identical cubes each of total surface area of $6c{m}^2$ are joined end to end. Which of the following is the total surface area of the cuboid so formed?

1. $12c{m}^2$
2. $18c{m}^2$
3. $10c{m}^2$
4. $8c{m}^2$

Q.

The ratio of edges of two cubes is 1:2, so the ratio of their surface areas is

1. 1 : 3

2. 2 : 3

3. 1 : 2

4. 1 : 4

Q. The length of a cuboid is twice its breadth. The breadth is twice its height. Then ratio of LSA to TSA of cuboid will be ___.

1. $7:2$
2. $7:3$
3. $3:7$
4. $7:4$

Q. Find the cost of painting the outer surface of a closed box which is 60 cm long, 40 cm broad and 30 cm high at a rate of 50 paise per 20 ${\text{cm}}^2$.

1. 27000 paise
2. 23000 paise
3. 25000 paise
4. 22000 paise

Q. A solid cube is cut into two cuboids of equal volumes. Find the ratio of the total surface area of the given cube and one of the cuboid.

1. 2 : 1
2. 1 : 2
3. 2 : 3
4. 3 : 2

Q.

Aditya has built a cubical water tank with lid for his house with each outer edge equal to $1.5\mathrm{m}$. He gets the outer surface of the tank including the base, covered with square tiles of side $25\mathrm{cm}$. Find how much he would spend on tiles if the cost of tile is $₹480$ per dozen?

Q. Find the cost of painting a box in the shape of cuboid of dimensions 20cm × 15 cm × 10 cm at the rate of ₹5 per square centimeter.

1. ₹6500
2. ₹4500
3. ₹5500
4. ₹3500

Q.

The perimeter of the base of a cuboid is 14 cm. It's lateral surface area is 231 cm^2. Find it's height.

Q. The length breadth and height of a cuboid are in ratio 6 : 5 : 3. If its total surface area is 504 $c{m}^2$, then find its dimensions.

1. 12 cm, 10 cm and 6 cm
2. 22 cm, 10 cm and 6 cm
3. 24 cm, 20 cm and 12 cm
4. 16 cm, 10 cm and 6 cm

Q. Find the length of a cuboid whose breadth and height are 4 cm and 6 cm respectively and total surface area is 408 $c{m}^2$ is.

1. 8 cm
2. 12 cm
3. 16 cm
4. 18 cm

Q. A milk tin in the shape of a cuboid has dimensions 23 cm $\times$ 24 cm $\times$ 45 cm . If 1 sq.m sheet costs ₹ 10, then the total cost for making 20 such tins is _______.

1. ₹ 106.6
2. ₹ 136.6
3. ₹ 126.6
4. ₹ 116.6

Q.

The surface area of a cuboid of dimensions $10m\times 12m\times 8m$ is

1. $582m^2$

2. $572m^2$

3. $598m^2$

4. $592m^2$

Q. Five cubes of side 4 cm are joined together side by side to form a cuboid, find the total surface area of the resultant cuboid.

1. $372c{m}^2$
2. $352c{m}^2$
3. $472c{m}^2$
4. $292c{m}^2$

Q.

A swimming pool is $20m$ in length, $15m$ in breadth and $4m$ in-depth. Find the cost of painting of its four walls at the rate of $Rs20$ per square metre.

Q. A Cuboid has length, breadth and height of 9 cm, 3 cm and 2 cm respectively. Find the total surface area of Cuboid.

1. 102 cm${}^2$
2. 51 cm${}^2$
3. 132 cm${}^2$
4. 145 cm${}^2$

Q. Two identical cubes each of total surface area of $6c{m}^2$ are joined end to end. Which of the following is the total surface area of the cuboid so formed?

1. $8c{m}^2$
2. $18c{m}^2$
3. $12c{m}^2$
4. $10c{m}^2$

Q.

Find the area of four walls of a room having length, breadth and height as 8 m, 5 m and 3 m respectively. Find the cost of white-washing the walls at the rate of Rs. 15/m².

Q. If 4 cubes of side 2 cm are joined together side by side to form a cuboid, then the total surface area of cuboid formed is.

1. $72{\text{cm}}^2$
2. $82{\text{cm}}^2$
3. $92{\text{cm}}^2$
4. $102{\text{cm}}^2$

Q. A $5m$ $60cm$ high vertical pole casts a shadow $3m$ $20cm$ long. Find at the same time (i) the length of the shadow cast by another pole $10m$ $50cm$ high (ii) the height of a pole which casts a shadow $5m$ long.

Q.

A house is in the shape of a cubical of length 20m, breadth 10m and height 5m. It has an opening of 2m $\times$ 2m on one of the walls for ventilation. Find the cost of cementing the walls of the house at Rs. 5 per $m^2$ .

1. Rs. 1500

2. Rs. 1480

3. Rs. 1400

4. Rs. 1450

Q. The length, breadth and height of a cuboidal box are
$12x,10x$ and $6x$ respectively. If its total surface area is 2016 $c{m}^2$. Find its dimensions.

1. $24\times 20\times 12$
2. $8\times 10\times 12$
3. $3\times 5\times 4$
4. $12\times 10\times 6$

Q. The total surface area of a rectangular box of dimensions $a$, 2$a$ and 3$a$ is ___.

1. $22a^2$
2. $20a^2$
3. $12a^2$
4. $23a^2$

Q. An iron box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine the area of the sheet required for making the box.

1. $5.45{\text{m}}^2$
2. $6.45{\text{m}}^2$
3. $5.65{\text{m}}^2$
4. $5.85{\text{m}}^2$

Q.

Daniel is painting the walls and ceiling of a cuboidal hall with length, breadth and height of 15 m, 10 m and 7 m respectively. From each can of paint 100 m² of area is painted. How many cans of paint will she need to paint the room?

Q.

Question 122

Work out the surface area of the following shape.

Q.

A steel box has dimensions of 3 m, 2 m and 0.5 m. It has to be gold plated through electrolysis. If each square metre of gold plating costs ₹ 100, then gold plating the outer surface of the box costs ______.

1. ₹ 1500

2. ₹ 1700

3. ₹ 3000

4. ₹ 3400