The internal dimensions of a rectangular hall are 15m ×12m×4m. There are 4 windows each of dimensions 2m ×1.5m and 2 doors each of dimensions 1.5m ×2.5m. find the cost of whitewashing all the 4 walls of the hall if the cost of whitewashing is rs5 per meter square.
What will be the cost of whitewashing if the ceiling of the hall is also whitewashed
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Here,
Ar. of the room or hall=(ar. of the four sides of room+ar.of the ceiling)-ar. of the four windows + ar. of two doors
={2h(l+b)+l×b}-{4(l×b)+2(l×b)}
={2×4m(15m+12m)+15m×12m}-{4(2m×1.5m)+2(1.5m×2.5m)}
={8m×27m+180m²}-{4×3m²+2×3.75m²}
={216m²+180m²}-{12m²+7.5m²}
=396m²-19.5m²
=376.5m²
Given
Cost of white washing 1m²=₹5
₀⁰₀ cost of white washing 376.5m²=₹5×376.5
=₹1882.5
Ar. of the room or hall=(ar. of the four sides of room+ar.of the ceiling)-ar. of the four windows + ar. of two doors
={2h(l+b)+l×b}-{4(l×b)+2(l×b)}
={2×4m(15m+12m)+15m×12m}-{4(2m×1.5m)+2(1.5m×2.5m)}
={8m×27m+180m²}-{4×3m²+2×3.75m²}
={216m²+180m²}-{12m²+7.5m²}
=396m²-19.5m²
=376.5m²
Given
Cost of white washing 1m²=₹5
₀⁰₀ cost of white washing 376.5m²=₹5×376.5
=₹1882.5
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