Surface Area of a Cuboid

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 $100m^2$of area is painted. How many cans of paint will she need to paint the room?

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.

The surface area of a $(10cm\times 4cm\times 3cm)$ brick is

(a) $84c{m}^2$

(b) $124c{m}^2$

(c) $164c{m}^2$

(d) $180c{m}^2$

Q.

The dimensions of an oil tin are 26 cm $\times$ 26 cm $\times$ 45 cm. Find the area of the tin sheet required for making 20 such tins. If 1 square metre of the tin sheet costs Rs 10, find the cost of tin sheet used for these 20 tins.

Q.

A swimming pool is 20 m long, 15 m wide and 3 m deep. Find the cost of repairing the floor and wall at the rate of Rs 25 per square metre.

Q.

Question 95

A cuboidal tin box opened at the top has dimensions $20cm\times 16cm\times 14cm$. What is the total area of metal sheet required to make 10 such boxes?

Q.

Find the capacity of a rectangular cistern in litres whose dimensions are $11.2m\times 6m\times 5.8m$ Find the area of the iron sheet required to make the cistern.

Q.

A cuboid has length, breadth and height of 6cm, 4 cm and 2 cm respectively. The total surface area of cuboid is:

1. 84

2. 44

3. 88

4. 176

Q.

The perimeter of a floor of a room is 30 in and its height is 3 m. Find the area of four walls of the room.

Q.

Question 103

Three cubes each of side 10 cm are joined end to end. Find the surface area of the resultant figure.

Q.

Question 31

The surface area of a cuboid formed by joining two cubes of side a face-to-face, is ___

Q.

The length of a hall is 18 m and the width 12 m. The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. Find the height of the wall.

Q.

A cubiod has total surface area of 50 $m^2$ and lateral surface area is 30 $m^2$. Find the area of its base.

Q.

The dimensions of a room are 12.5 m by 9 m by 7 m. There are 2 doors and 4 windows in the room; each door measures 2.5 m by 1.2 m and each window 1.5 m by 1 m. Find the cost of painting the walls at Rs 3.50 per square metre.

Q.

The central hall of a school is 80 m long and 8 m high. It has 10 doors each of size 3 m $\times$ 1.5 m and 10 windows each of size 1.5 m $\times$ 1 m. If the cost of the white-washing the walls of the hall at the rate of Rs. 1.20 per $m^2$ is Rs. 2385.60, find the breadth of the hall.

Q.

Three cubes, each with 4 cm edge, are joined end to end. Then, the total surface area of the resultant cuboid is ___.${\text{cm}}^2$

Q.

A cuboidal box is 5 cm by 5cm by 4cm. Find its surface area.

Q.

Question 42

Opposite faces of a cuboid are ___ in area.

Q.

Find the area of the cardboard required to make a closed box of length 25 cm, 0.5 m and height 15 cm.

Q.

The area of the cardboard needed to make a box of size $25cm\times 15cm\times 8cm$ will be

(a) $390c{m}^2$

(b) $1390c{m}^2$

(c) $2780c{m}^2$

(d) $1000c{m}^2$

Q.

Question 109

External dimensions of a closed wooden box are in the ratio 5 : 4 : 3. If the cost of painting its outer surface at the rate of Rs. 5 per $d{m}^2$ is Rs. 11750, find the dimensions of the box.

Q.

The dimensions of a cuboid are in the ratio 5 : 3 : 1 and its total surface area is 414 $m^2$. Find the dimensions.

Q.

Question 50

___surface area of room = Area of 4 walls.

Q. Find the total surface area of a cuboid of dimensions $10\text{m}\times 5\text{m}\times 13\text{m}$.

1. $590{\text{m}}^2$
2. $550{\text{m}}^2$
3. $450{\text{m}}^2$
4. $490{\text{m}}^2$

Q.

A class is 7 m long, 6 m board and 3.5 m high. Doors and windows occupy an area of 17 $m^2$. What is the cost of white-washing the walls at the rate of Rs. 1.50 per $m^2$.

Q.

In the figure, Each cube has a volume of $1cubicunit.$ Find the volume of the figure and the area of its base.

Q.

Two cubes, each of volume 512 $c{m}^3$ are joined end to end, find the surface area of the resulting cuboid.

Q.

Question 104

A table cover of dimensions 3 m 25 cm x 2 m 30 cm is spread on a table. If 30 cm of the table cover, is hanging all around the table, find the area of the table cover, which is hanging outside the top of the table. Also, find the cost of polishing the top at Rs.16 per square metre.

Q.

Question 54

State whether the following statement is true or false:

​​​​​​​The areas of any two faces of a cuboid are equal.

Q. A swimming pool is $20m$ long, $15m$ wide and $3m$ deep. Find the cost of repairing the floor and wall at the rate of $Rs.25$ per square metre.