Question

painting its walls at Rs 16 per m is Rs 2560, find the
3 The volume of a square room is 256 m'. The cost of plastering its 4 walls at Rs 400 per
10 m' is Rs 5120. Find the height of the room.
three times its height If the cost of​

Answer 1

Answer:

We are told that the room is square, i.e of equal width and depth.

Let x be the width of the room and y its height.

The cost of painting the walls is Rs 640 at Rs 5 per square metre. That’s an area of 640 / 5 = 128 sq m for the four walls.

The total area of the walls is 4xy. From the above, this is equal to 128 sq m, so each wall has an area of xy = 32 sq m (1).

The volume of the room is yx^2 which we are told is 256 cu m (2).

Dividing (1) into (2) gives x = 8 metres.

Substituting in (1) gives y = 4 metres. Answer.

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