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Standard VIII

Mathematics

Total Surface Area of a Cuboid

A wooden box ...

Question

A wooden box has inner dimensions l = 6 m, b = 8 m and h = 9 m and it has uniform thickness of 10 cm. The lateral surface of the outer side has to be painted at the rate of Rs. 50/m². What is the cost of painting?

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Solution

We have the wooden box shown below.

The dimensions of the outer sides of the wooden box are:

Thus, the lateral surface area of the outer sides can be calculated as:

Therefore, the cost of painting the outer side of the wooden box is

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Q. Question 1
A wooden bookshelf has external dimensions as follows: Height = 110 cm, Depth = 25 cm, Breadth = 85 cm (see Fig. 13.31). The thickness of the plank is 5 cm everywhere. The external faces are to be polished and the inner faces are to be painted. If the rate of polishing is 20 paise per

c m^{2}

and the rate of painting is 10 paise per

c m^{2}

find the total expenses required for polishing and painting the surface of the bookshelf.

Q. A wooden bookshelf has external dimensions as follows: Height =

110

cm, Depth =

25

cm, Breadth =

85

cm. The thickness of the plank is

5

cm everywhere. The external faces are to be polished and the inner faces are to be painted. If the rate of polishing is

20

paise per

{c m}^{2}

and the rate of painting is 10 paise per

{c m}^{2}

. Find the total expenses required for polishing and painting the surface of the bookshelf

Q. A wooden bookshelf has external dimensions as follows: Height = 110 cm, Depth = 25 cm, Breadth = 85 cm (See Figure). The thickness of the plank is 5 cm every where. The external faces are to be polished and the inner faces are to be painted. If the rate of polishing is 20 paise per cm² and the rate of painting is 10 paise per cm². Find the total expenses required for polishing and painting the surface of the bookshelf.

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.

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A wooden box has inner dimensions l = 6 m, b = 8 m and h = 9 m and it has uniform thickness of 10 cm. The lateral surface of the outer side has to be painted at the rate of Rs. 50/m2. What is the cost of painting?

We have the wooden box shown below. The dimensions of the outer sides of the wooden box are: Thus, the lateral surface area of the outer sides can be calculated as: Therefore, the cost of painting the outer side of the wooden box is

A wooden box has inner dimensions l = 6 m, b = 8 m and h = 9 m and it has uniform thickness of 10 cm. The lateral surface of the outer side has to be painted at the rate of Rs. 50/m². What is the cost of painting?

We have the wooden box shown below.

The dimensions of the outer sides of the wooden box are:

Thus, the lateral surface area of the outer sides can be calculated as:

Therefore, the cost of painting the outer side of the wooden box is