1.3 Volume and Surface Area
of Right Prisms
prism a 3d shape with congruent parallel bases
lateral faces the "non-base" faces
right prism a prism with rectangular lateral faces
lateral faces are perpendicular to the bases
oblique prism a prism whose lateral faces are
parallelograms
lateral faces are not perpendicular to the
bases
Which is which?
Volume
What is volume?
How do you find volume?
Surface Area
Area
What is surface area?
How do you find surface area?
B = 110 in
2
8 in
B = 110 in2
4 in
5 in
Face
hexagon
Formula
hexagon
rectangle
rectangle
rectangle
rectangle
rectangle
rectangle
lxw
lxw
lxw
lxw
lxw
l xw
Work
110
110
5x9
5x9
4x9
4x9
4x9
4x9
Area
110
110
45
45
36
36
36
36
total:
454 in2
B = 22 cm2
3 cm
B=2
2
m
2c
Face
Octagon
Octagon
Formula
Rectangle
lxw
lxw
lxw
lxw
lxw
Rectangle
Recangle
Rectangle
Rectangle
Rectangle
Rectangle
Rectangle
Work
22
22
3 x 12
3 x 12
Area
22
22
36
36
3 x 12
36
3 x 12
3 x 12
36
36
lxw
3 x 12
36
lxw
lxw
3 x 12
3 x 12
36
36
total:
332 cm2
3 in
4 in
3
in
3 in
4 in
Face
triangle
triangle
rectangle
rectangle
rectangle
Formula
1/2 bh
1/2 bh
lxw
lxw
lxw
Work
Area
1/2 x 4 x 3
6
6
1/2 x 4 x 3
4x6
3x6
3x6
24
18
18
total:
72 in2
8 in
5 in
14 in
8 in
7
in
5 in
14 in
Area
Face
Formula
trapeziod
1/2 h (b1 +b2) 1/2 ⋄5 (8 +14)
55
trapezoid
1/2 h (b1 +b2) 1/2 ⋄5 (8 +14)
55
rectangle
rectangle
rectangle
rectangle
lxw
14 x 9
lxw
7x9
lxw
lxw
7x9
8x9
126
63
63
72
Work
434 in2
B=2
5 cm 2
9
c
m
6 cm
B=2
5 cm 2
9
c
m
6 cm
Face
pentagon
pentagon
rectangle
rectangle
rectangle
rectangle
rectangle
Formula
lxw
lxw
lxw
lxw
lxw
Work
Area
25
25
6x9
6x9
25
25
54
54
54
54
54
6x9
6x9
6x9
320 cm2
cm
10
7 cm
16 cm
12
cm
Face
triangle
triangle
rectangle
rectangle
rectangle
10
cm
7 cm
16 cm
Formula
Work
Area
1/2 b h
1/2 bh
1/2 x 16 x 7
/2 x 16 x 7
56
56
lxw
16 x 10
160
lxw
lxw
10 x 12
10 x 12
120
120
512 cm2
8
5m
m
12 m
13 m
8
5m
m
12 m
Face
triangle
triangle
rectangle
rectangle
rectangle
Formula
1/2 bh
1/2 bh
lxw
lxw
lxw
Work
1/2 x12x5
1/2x12x5
12 x 8
5x8
13 x 8
Area
30
30
96
40
104
300 m2