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Question

Mathematics Question on Mensuration

The dimensions of a room are 10m × 7m × 5m . There are 2 doors and 3 windows in the room.The dimensions of the doors are 1m × 3m. One window is of size 2m × 1.5m and the other two windows are of size 1m × 1.5m. The cost of painting the walls at ₹ 3 per m2 is

A

₹ 578.50

B

₹ 474

C

₹ 684

D

₹ 894

Answer

₹ 474

Explanation

Solution

Area of 4 walls =2(l+b)h=2(10+7) 2(l+b)h =2(10+7) ×\times 5
= 170 sq m
Area of 2 doors and 3 windows = 2(1×\times3)+(2×\times1.5)+2(1×\times1.5)
= 12 sq m
Area to be planted = 17012=158sqm170 -12 = 158 sq m
Cost of painting = Rs. 158 ×\times 3 = Rs. 474.
So the correct option is (B)