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A room measures 3 meter wide, 4 meters long, and 2.5 meters high. a. What is the surface area of the room in square meters (including the ceiling and the floor)? b. If a certain paint covers 25 square meters per gallon, how many gallons will it take to paint the walls and ceiling, but not the floor?

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Answer:

Step-by-step explanation:

The total surface area of the room is expressed as;

TSA = 2(LW+LH+WH)

L is the length

W is the width.

H is the height

Given

L = 4m

W = 3m

H = 2.5m

.TSA = 2{4(3)+3(2.5)+4(2.5)}

TSA = 2(12+7.5+10)

TSA = 2(29.5

TSA = 59m²

TSA (without the floor) = 2(3(2.5)+4(2.5))

TSA = 2(7.5+10)

TSA = 2(17.5)

TSA = 35m²

If a certain part covers 25 square meters per gallon, the amount of gallon needed will be 35m²/25m²

= 1.4gallons

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