Surface Area of Rectangular Prisms

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Surface Area of Rectangular Prisms
A rectangular Prism is like a box with 6
sides. To calculate the surface area of the
prism, we calculate the area of each side and add
all the sides together
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Example
S. A. sum of areas of each side
5 cm
A front l x w 6 cm x 5 cm
30 cm 2
A back l x w 6 cm x 5 cm 30
cm 2
4 cm
6 cm
A left side l x w 4 cm x 5 cm
20 cm 2
A right side l x w 4 cm x 5 cm
20 cm 2
S.A. 30 cm 2 30 cm 2 20 cm 2 20 cm
2 24 cm 2 24 cm 2 148 cm 2
A top l x w 6 cm x 4 cm
24 cm 2
A bottom l x w 6 cm x 4 cm
24 cm 2
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Note You can reduce the calculation by
recognizing that the front area is the same as
the back area, the left side is the same as the
right side and the top is the same as the bottom.
Your Turn Calculate the S.A. of the rectangular
prism below
6 m
5 m
8 m
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Note a cube has 6 sides that are the same so
you can calculate one side and multiply by 6.
A each face l x w 5 cm x 5 cm 25 cm
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5 cm
5 cm
5 cm
S.A. 25 cm 2 x 6 150 cm 2
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Your turn Calculate the S.A. of the cube below
2 m
2 m
2 m
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Volume of rectangular prisms
5 cm
4 cm
8 cm
Volume length x width x height
V l x w x h 8 x 4 x 5 160 cm 3
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Your turn Calculate the volume of the prism below
10 cm
4 cm
6 cm