warm-up find the area of the following: show calculations! 1.)2.) 3.) 4 inches 8 ft 12 cm 8ft 3 cm 3...
TRANSCRIPT
Warm-up
Find the area of the following: show calculations!1.) 2.)
3.)
4 inches
8 ft
12 cm
8ft
3 cm
3 inches
Surface Area of Rectangular Prisms
A Rectangular Prism has 6 faces
Bottom
Top
Left Right
Front
Back
Length
Hei
ght
Width
A Rectangular Prism has 6 faces
Left
Top
Back
Front
Bottom
Right
In order to find the surface area, you find the area of each face, then add them all together.
LeftLength
Back
Front
Bottom
RightH
eigh
t
Hei
ght
Wid
th
Width
Hei
ght
Length
Length
Length
Width
Wid
th
Hei
ghtTop
In order to find the surface area, 2·(length·width) +2·(length·height) +2·(width·height)
length width
height
2LW+2LH+2WH = SA of Rectangular Prism
Let’s Practice!!
1) Find the surface area of the Rectangular Prism
12cm
10cm
8cm
1) Find the surface area of the Rectangular Prism
10cm
12cm
8cm
Length = ? Width =? Height = ?
8 cm12 cm10 cm
SA = 2·L·W + 2·L·H + 2·W·H
=2·(8cm·12cm) + 2·(8cm·10cm) + 2·(12cm·10cm)
=2·(96cm2) + 2·(80cm2) + 2·(120cm2)
=192cm2 + 160cm2 + 240cm2
= 592 cm2
2) Find the surface area of the Rectangular Prism
10m
5m
2m
Length =Width =Height =
10m2m5m
SA = 2·L·W + 2·L·H + 2·W·H
=2·(10m·2m) + 2·(10m·5m) + 2·(2m·5m)
=2·(20m2) + 2·(50m2) + 2·(10m2)
=40m2 + 100m2 + 20m2 = 160m2
Now Practice on your Own