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3.5 Surface Area of a Rectangular Prism
Mme DiMarco
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Learning Goal: use a formula to calculate the surface area of a rectangular prism
Learning Goal
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Formulas:
Rectangle: A = b x hP = 2 x (b + h)
Square:A = c2
P = 4c
Remember!
b
h
s
s
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Flat representation of all the faces of a polyhedron
Each face is connected to at least one other by a common edge
Net of a Polyhedron
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Surface area = the sum of the areas of each individual rectangle (the total area of the net)
Surface area of a rectangular prism
3cm
8cm
5cm
Area = 8 x 5
Area = 8 x 3
Area = 8 x 5
Area= 8 x 3
Area
= 5
x
3
8cm 3cm
5cm
3cm
5cm
Area
= 5
x
3
3cm
5cm
3cm
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Step 1: find the area for each individual face on the rectangular prismStep 2: add each area to find the total area
We can do both of these steps in one equation…
At = 2(8 x 3) + 2(8 x 5) + 2(3 x 5)At = 2(24) + 2(40) + 2(15)At = 48 + 80 +30 At = 158cm2
Surface area of a rectangular prism
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You can write the equation
A variable represents each letter… Length = l Width = w Height = h
Formula for area of a rectangular prism
Aire = L x l
Aire = L x h
Aire = L x l
Aire = L x h
Aire
= l
x h
hL
l
wh
l
h
h
l
Aire
= l
x h
At = 2lh + 2lw + 2hw
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Page 99, questions 1 à 3
Homework