SOLUTION: Rachel wants to paint her cupboard. The length of the cupboard is 2.5 meters, its width is 1 meter, and its height is 2 meters. How much area will she need to paint if she paints b

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Rachel wants to paint her cupboard. The length of the cupboard is 2.5 meters, its width is 1 meter, and its height is 2 meters. How much area will she need to paint if she paints b      Log On

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Question 1039559: Rachel wants to paint her cupboard. The length of the cupboard is 2.5 meters, its width is 1 meter, and its height is 2 meters. How much area will she need to paint if she paints both the bases and all the lateral faces?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Given info

length = L = 2.5
width = W = 1
height = H = 2

all dimensions are in meters

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The formula we'll use here is the surface area (SA) of a rectangular prism

SA = 2*(L*W + L*H + W*H)

Let's plug in the given info (above) and compute to get...

SA = 2*(L*W + L*H + W*H)
SA = 2*(2.5*1 + 2.5*2 + 1*2)
SA = 2*(2.5 + 5 + 2)
SA = 2*(9.5)
SA = 19

So the total surface area is 19 square meters. This is the total area that Rachel needs to paint.