Friday, Feb 21 Chapter 10.3 Surface Areas of Rectangular
Prisms
Slide 3
Objective: To find the surface area of rectangular prisms.
Slide 4
Surface Areas of Rectangular Prisms At the end of this lesson
you should be able to answer the following question. What is the
relationship between area and surface area?
Slide 5
Surface Areas of Rectangular Prisms The surface area (SA) of a
three dimensional figure is the outer face or exterior boundary of
the figure.
Slide 6
Surface Areas of Rectangular Prisms There are two ways to find
the surface area of a shape. 1. Use a formula 2. Use a net
Slide 7
Surface Areas of Rectangular Prisms The formula to find the
surface area (SA) of a prism is 2 x Area of the Base + tall x
perimeter of the Base, or SA = 2B + tp
Slide 8
Surface Areas of Rectangular Prisms B and b are two different
measurements. In a three dimensional shape the Base (B) is area of
the bottom and top of the shape and determines the name of the
prism.
Slide 9
Surface Areas of Rectangular Prisms Area of the Base (B) = lw
Perimeter (p) = w + l + w + l tall (t) = The distance from Base to
Base.
Slide 10
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. SA = 2B + tp To find the SA of a prism. Step 1
Find the area of the Base. What is the area of the Base?
Slide 11
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. SA = 2(35) + tp To find the SA of a prism. Step
1 Find the area of the Base. What is the area of the Base? 5 x 7 =
35
Slide 12
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. SA = 2(35) + tp To find the SA of a prism. Step
2 Find the perimeter of the Base. What is the perimeter of the
Base?
Slide 13
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. SA = 2(35) + t(24) To find the SA of a prism.
Step 2 Find the perimeter of the Base. What is the perimeter of the
Base? 5 + 7 + 5 + 7 = 24
Slide 14
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. SA = 2(35) + t(24) To find the SA of a prism.
Step 3 Find the tallness. How tall is the shape? (What is the
distance from Base to Base?)
Slide 15
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. SA = 2(35) + (4)(24) To find the SA of a prism.
Step 3 Find the tallness. How tall is the shape? 4
Slide 16
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. SA = 2(35) + (4)(24) (4) SA = 166ft To find the
SA of a prism. Step 4 Perform the operations.
Slide 17
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. Do this on your own.
Slide 18
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. SA = 2(3x4) + (2)(3+4+3+4) SA = 52m
Slide 19
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. Do this on your own.
Slide 20
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. SA = 2(7x4.8) + (6)(7+4.8+7+4.8) SA =
208.8cm
Slide 21
Surface Areas of Rectangular Prisms The surface area (SA) of a
prism can also be determined by using a net. A net is a
deconstructed (flat) version of a three- dimensional shape.
Slide 22
Surface Areas of Rectangular Prisms To find the surface area
(SA) of a prism by using a net the area of each face is added
together, like a composite shape.
Slide 23
Surface Areas of Rectangular Prisms Since a rectangular prism
has 6 faces, there will be six areas to add.
Slide 24
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism.
Slide 25
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. What is the area of the outlined shapes?
Slide 26
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. 12+12 What is the area of the outlined shapes? 6
x 2 = 12
Slide 27
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. 12 + 12 What is the area of the outlined
shapes?
Slide 28
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. 12+12+18+18 What is the area of the outlined
shapes? 2 x 9 = 18
Slide 29
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. 12+12+18+18 What is the area of the outlined
shapes?
Slide 30
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. 12+12+18+18+54+54 What is the area of the
outlined shapes? 6 x 9 = 54
Slide 31
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. 12+12+18+18+54+54 What is the total area?
Slide 32
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. 12+12+18+18+54+54 What is the total area?
12+12+18+18+54+54= 168yd
Slide 33
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. Do this on your own.
Slide 34
Surface Areas of Rectangular Prisms Find the SA of the
rectangular prism. 100+100+150+150+150+150= 800in
Slide 35
Surface Areas of Rectangular Prisms A geode is being sent as a
gift. It is packed in a box that measures 7 inches long, 3 inches
wide, and 16 inches tall. What is the surface area of the box? Do
this on your own.
Slide 36
Surface Areas of Rectangular Prisms A geode is being sent as a
gift. It is packed in a box that measures 7 inches long, 3 inches
wide, and 16 inches tall. What is the surface area of the box? B =
7 x 3 = 21, H = 16 SA = 2B + Hp SA = 2(21) + (16)(7+3+7+3) =
362in
Slide 37
Surface Areas of Rectangular Prisms Agenda Notes Homework No
Homework, but Homework Practice 10-3 due by the end of the period
Chapter 10 Test Wednesday, Feb 26
