SOLUTION: Determine the number of cans of paint needed to paint three rooms of a house (walls and ceiling). Each room is 12 feet by 10 feet with 8 foot ceilings. Each room contains a 4 foot
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Question 824153: Determine the number of cans of paint needed to paint three rooms of a house (walls and ceiling). Each room is 12 feet by 10 feet with 8 foot ceilings. Each room contains a 4 foot by 5 foot window and a 3 foot by 7 foot door. A can of paint is 1 gallon and covers 250 square feet.
please help me Found 2 solutions by josgarithmetic, josmiceli:Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website! Surface Area of a room: ignoring the door and window.
Accounting for the door and window, room area needing paint is square feet.
A specific answer requires knowing the number of these rooms. Let r = how many rooms like this need painting.
You can put this solution on YOUR website! To picture the rooms, the areas of the ceilings are
10 x 12 ft2
If you measure from floor to ceiling, the height
of each room is 8 ft
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That tells you that each room has two walls
that are 8 x 12 ft2
and two walls that are 8 x 10 ft2
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The ceilings are each 10 x 12 ft2
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So, for one of the 3 rooms, you have:
Area[1] =
Area[1] =
Area[1] = ft2
-----------------
The total area of the 3 rooms is:
Area[3] =
Area[3] = ft2
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You have to subtract the areas of the window
and a door in each room:
Area[1'] =
Area[1'] =
The total area to subtract for the 3 rooms is:
Area[3'] =
Area[3'] =
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The area that must be painted is:
Area =
Area =
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To find the number of cans of paint needed:
They won't sell you part of a can of paint,
so you need 6 cans of paint
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