Question

Find the area of the four walls of a room whose length is 6m, breadth 5m and height 4m.Also find the cost of white washing if the rate of white washing is rupees 5 per square. meter

Answer 1

Answer:

Area=88m^2

cost = ₹440

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Answer 2

Given,

Dimensions of a room;

Length = L = 6 meters

Breadth = B = 5 meters

Height = H = 4 meters

Cost of whitewashing the walls per square meter area = Rs. 5

To find,

a) Total area of the four walls of the room

b) Total cost of whitewashing the four walls.

Solution,

We can simply solve this mathematical problem using the following process:

As per mensuration;

For a cuboid with length L, breadth B, and height H, the lateral surface of a cuboid

= 2H(L+B)

Now,

The total area of the four walls of the room

= the lateral surface of the room

= 2H(L+B)

= 2 x 4 m x (6m + 5m)

= 2 x 4 m x 11 m

= 88 square meters

Now,

The total cost of whitewashing the four walls

= (total area of the four walls of the room) x (cost of whitewashing the walls per square meter area)

= 88 square meters x Rs 5

= Rs. 440

Hence, the total area of the four walls of the room is equal to 88 square meters and the total cost of whitewashing the four walls is Rs. 440.