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The internal measures of a cubodial room are 12m × 8m × 4m. Find the total cost of whitewashing all four walls of a room , if the cost of whitewashing is Rs 5 per sq. meter. What will be the cost of white washing If the ceiling of the room is also whitewashed.?
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The internal measures of a cubodial room are 12m × 8m × 4m. Find the t...
Dimensions = 12m * 8m * 4m
Lateral surface area = 2(l+b) h
= 2(12+8)4 = 8*20= 160 sq m
Cost rs. 5 per sq m
Total cost = 160* 5 = rs. 800

Area of ceiling = 12*8 = 96 sq m
So, cost = rs 5 * 96
= rs. 480
Total cost = 800+480
=rs.1280
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The internal measures of a cubodial room are 12m × 8m × 4m. Find the t...

Calculating the Cost of Whitewashing

- Calculating the Surface Area of the Walls:
The total surface area of the walls can be calculated by adding the areas of all four walls. The formula to find the surface area of a cuboidal room is 2(h × l + l × b + h × b), where h is the height, l is the length, and b is the breadth.
In this case, the height (h) = 4m, length (l) = 12m, and breadth (b) = 8m.
Therefore, the surface area of the walls = 2(4 × 12 + 12 × 8 + 4 × 8) = 2(48 + 96 + 32) = 2(176) = 352 sq. meters.

- Calculating the Cost of Whitewashing the Walls:
Given that the cost of whitewashing is Rs 5 per sq. meter, the total cost of whitewashing all four walls can be calculated by multiplying the surface area of the walls by the cost per sq. meter.
Total cost = 352 sq. meters × Rs 5/sq. meter = Rs 1760.

- Calculating the Cost of Whitewashing the Ceiling:
To calculate the cost of whitewashing the ceiling, we need to find the surface area of the ceiling. The formula for the surface area of the ceiling of a cuboidal room is l × b, where l is the length and b is the breadth (12m × 8m = 96 sq. meters).
Therefore, the cost of whitewashing the ceiling = 96 sq. meters × Rs 5/sq. meter = Rs 480.

- Total Cost of Whitewashing Walls and Ceiling:
To find the total cost of whitewashing the walls and ceiling together, we add the cost of whitewashing the walls and the cost of whitewashing the ceiling.
Total cost = Rs 1760 (walls) + Rs 480 (ceiling) = Rs 2240.

Therefore, the total cost of whitewashing all four walls of a room is Rs 1760, and the cost of whitewashing the ceiling is Rs 480. The total cost of whitewashing walls and ceiling together is Rs 2240.
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The internal measures of a cubodial room are 12m × 8m × 4m. Find the total cost of whitewashing all four walls of a room , if the cost of whitewashing is Rs 5 per sq. meter. What will be the cost of white washing If the ceiling of the room is also whitewashed.?
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The internal measures of a cubodial room are 12m × 8m × 4m. Find the total cost of whitewashing all four walls of a room , if the cost of whitewashing is Rs 5 per sq. meter. What will be the cost of white washing If the ceiling of the room is also whitewashed.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The internal measures of a cubodial room are 12m × 8m × 4m. Find the total cost of whitewashing all four walls of a room , if the cost of whitewashing is Rs 5 per sq. meter. What will be the cost of white washing If the ceiling of the room is also whitewashed.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The internal measures of a cubodial room are 12m × 8m × 4m. Find the total cost of whitewashing all four walls of a room , if the cost of whitewashing is Rs 5 per sq. meter. What will be the cost of white washing If the ceiling of the room is also whitewashed.?.
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