97 97

Surface Area of

Triangular Prisms

Triangular Prism w/ b, h, L & widths

Tri Prism

Surface

Area

Formula

1) Draw Shape of each Face

2) Calculate Area for each Face

3) Write Area in each Face

Tri Prism

Surf Area

cm2

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb) Front Tri Back Tri Left Rect Right Rect Bottom Rect

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb) Front Tri Back Tri Left Rect Right Rect Bottom Rect

cm2

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb) Front Tri Back Tri Left Rect Right Square Bottom Rect

A Calc Surf Area of a Tri Prism Last _________________________________ first _______________________ Copyright © Bossy Brocci

3 cm

3 cm 4 cm

4 cm

3 cm

3 cm 4 cm

4 cm

6 cm

6 cm 8 cm

8 cm

6 cm2

80 cm2 60 cm2

Triangular Prism w/ b, h, L & widths

Tri Prism

Surface

Area

Formula

1) Draw Shape of each Face

2) Calculate Area for each Face

3) Write Area in each Face

Tri Prism

Surf Area

cm2

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb) Front Tri Back Tri Left Rect Right Rect Bottom Rect

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb) Front Tri Back Tri Left Rect Right Rect Bottom Rect

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb) Front Tri Back Tri Left Rect Right Rect Bottom Rect

B Calc Surf Area of a Tri Prism Last _________________________________ first ___________________________ Copyright © by Chris Brocci

6 cm

6 cm 8 cm

8 cm

12 cm2

50 cm2 6 cm

h =

4 c

m

7 cm

h =

6 c

m

Triangular Prism w/ b, h, L & widths

Tri Prism

Surface

Area

Formula

1) Re-write the Surface Area Formula

2) Substitute in b, h, L & various width values

3) Calculate & Sub in respective Areas

4) Calculate Surface Area

Tri

Prism

Surface

Area

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb)

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb)

SA = 2[½(b x h)] + (LwL) + (Lw

r) + (Lw

b)

cm2

SA = 2(½3x4) + (20∙4) + (20∙5) + (20∙3)

SA = 12 + (80) + (100) + (60)

SA = cm2

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb)

C Calc Surf Area of a Tri Prism Last ________________________________ first _______________________ Copyright © Bossy Brocci

3 cm

3 cm 4 cm

4 cm

3 cm

3 cm 4 cm

4 cm

6 cm

6 cm 8 cm

8 cm

Triangular Prism w/ b, h, L & widths

Tri Prism

Surface

Area

Formula

1) Re-write the Surface Area Formula

2) Substitute in b, h, L & various width values

3) Calculate & Sub in respective Areas

4) Calculate Surface Area

Tri

Prism

Surface

Area

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb)

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb)

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb)

D Calc Surf Area of a Tri Prism Last ________________________________ first ____________________________ Copyright © by Chris Brocci

6 cm

6 cm 8 cm

8 cm

6 cm

h =

4 c

m

7 cm

h =

6 c

m

Tri

Prism

Comp

Tri Side

A (cm)

Tri Side

B (cm)

Tri Side

C (cm)

Quad

Length (cm)

Change in Tri sides

and/or Quad Length

x Scale Factor

Surface

Area (cm2)

Change in Surf Area x Scale Factor

(round any decimals to1 place)

A2 3 4 5 20 x 2

for Quad Length A1 3 4 5 10 132

A3 6 8 10 10

for Triangle Sides A1 3 4 5 10 132

B1 6 8 10 20

for Tri Sides & Quad Length A1 3 4 5 10 132

Triple 9 12 15 30

for Tri Sides & Quad Length

1,188

A1 3 4 5 10 132 1. Doubling just the Rectangular Side Length of a Tri Prism: a)More than Doubles b)Almost Doubles the Surface Area

2. Doubling all sides of the Triangle faces: a)More than Doubles b)Almost Doubles the Surf Area of a Triangular Prism

3. Doubling BOTH the Rectangular Length & the Triangle sides: a)Doubles b)Triples c)Quadruples the Surf Area

4. Tripling BOTH the Rectangular Length & the Triangle sides increases the Surface Area by a Factor of: _________________

5. Quadrupling BOTH the Rectangular Length & the Triangle sides would increase Surface Area by a Factor of: ____________

6. Suppose somebody shows you a Triangular Prism-shaped Tent made of valuable Gold thread! They offer to give you one that’s

even bigger, but you can double only 1 thing. Which option should you pick? a)Double Rect Length b)Double Triangle sides

7. Which kind of Triangle creates a Tri Prism having 3 Rectangular sides w/ the same area? a)Scalene b)Isosceles c)Equilateral

8. Which kind of Triangle creates a Tri Prism having 2 Rectangular sides w/ the same area? a)Scalene b)Isosceles c)Equilateral

E Analysis: Dimensions’ Effect on S.A. of a Tri Prism Last ______________________ first ______________________ Copyright © Bossy Brocci

Key Surface Area of

Triangular Prisms

105 105

Triangular Prism w/ b, h, L & widths

Tri Prism

Surface

Area

Formula

1) Draw Shape of each Face

2) Calculate Area for each Face

3) Write Area in each Face

Tri Prism

Surf Area

cm2

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb) Front Tri Back Tri Left Rect Right Rect Bottom Rect

132

cm2

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb) Front Tri Back Tri Left Rect Right Rect Bottom Rect

252

cm2

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb) Front Tri Back Tri Left Rect Right Square Bottom Rect

288

cm2

3 cm

3 cm 4 cm

4 cm

3 cm

3 cm 4 cm

4 cm

6 cm

6 cm 8 cm

8 cm

6 cm2 6 cm2

40 cm2 30 cm2 50 cm2

6 cm2 6 cm2

80 cm2 60 cm2 100 cm2

24 cm2 24 cm2

80cm2

100 cm2

60 cm2

A Calc Surf Area of a Tri Prism Last _________________________________ first _______________________ Copyright © Bossy Brocci

Triangular Prism w/ b, h, L & widths

Tri Prism

Surface

Area

Formula

1) Draw Shape of each Face

2) Calculate Area for each Face

3) Write Area in each Face

Tri Prism

Surf Area

cm2

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb) Front Tri Back Tri Left Rect Right Rect Bottom Rect

528

cm2

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb) Front Tri Back Tri Left Rect Right Rect Bottom Rect

184

cm2

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb) Front Tri Back Tri Left Rect Right Rect Bottom Rect

252

cm2

6 cm

6 cm 8 cm

8 cm

24 cm2 24 cm2

160 cm2 200 cm2 120 cm2

12 cm2 12 cm2

50 cm2 50 cm2 60 cm2

21 cm2 21 cm2

70 cm2 70 cm2 70 cm2

6 cm

h =

4 c

m

7 cm

h =

6 c

m

B Calc Surf Area of a Tri Prism Last _________________________________ first ___________________________ Copyright © by Chris Brocci

Triangular Prism w/ b, h, L & widths

Tri Prism

Surface

Area

Formula

1) Re-write the Surface Area Formula

2) Substitute in b, h, L & various width values

3) Calculate & Sub in respective Areas

4) Calculate Surface Area

Tri

Prism

Surface

Area

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb)

SA = 2[½(b x h)] + (LwL) + (Lw

r) + (Lw

b)

132

cm2

SA = 2(½3x4) + (10∙4) + (10∙5) + (10∙3)

SA = 12 + (40) + (50) + (30)

SA = 132 cm2

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb)

SA = 2[½(b x h)] + (LwL) + (Lw

r) + (Lw

b)

252

cm2

SA = 2(½3x4) + (20∙4) + (20∙5) + (20∙3)

SA = 12 + (80) + (100) + (60)

SA = 252 cm2

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb)

SA = 2[½(b x h)] + (LwL) + (Lw

r) + (Lw

b)

288

cm2

SA = 2(½6x8) + (10∙8) + (10∙10) + (10∙6)

SA = 48 + (80) + (100) + (60)

SA = 288 cm2

3 cm

3 cm 4 cm

4 cm

3 cm

3 cm 4 cm

4 cm

6 cm

6 cm 8 cm

8 cm

C Calc Surf Area of a Tri Prism Last ________________________________ first _______________________ Copyright © Bossy Brocci

Triangular Prism w/ b, h, L & widths

Tri Prism

Surface

Area

Formula

1) Re-write the Surface Area Formula

2) Substitute in b, h, L & various width values

3) Calculate & Sub in respective Areas

4) Calculate Surface Area

Tri

Prism

Surface

Area

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb)

SA = 2[½(b x h)] + (LwL) + (Lw

r) + (Lw

b)

528

cm2

SA = 2(½6x8) + (20∙8) + (20∙10) + (20∙6)

SA = 48 + (160) + (200) + (120)

SA = 528 cm2

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb)

SA = 2[½(b x h)] + (LwL) + (Lw

r) + (Lw

b)

184

cm2

SA = 2(½6x4) + (10∙5) + (10∙5) + (10∙6)

SA = 24 + (50) + (50) + (60)

SA = 184 cm2

SA =

2[1/2 (b x h)]

+ (L x wL)

+ (L x wr)

+ (L x wb)

SA = 2[½(b x h)] + (LwL) + (Lw

r) + (Lw

b)

252

cm2

SA = 2(½7x6) + (10∙7) + (10∙7) + (10∙7)

SA = 42 + (70) + (70) + (70)

SA = 252 cm2

6 cm

6 cm 8 cm

8 cm

6 cm

h =

4 c

m

7 cm

h =

6 c

m

D Calc Surf Area of a Tri Prism Last ________________________________ first ____________________________ Copyright © by Chris Brocci

Tri

Prism

Comp

Tri Side

A (cm)

Tri Side

B (cm)

Tri Side

C (cm)

Quad

Length (cm)

Change in Tri sides

and/or Quad Length

x Scale Factor

Surface

Area (cm2)

Change in Surf Area x Scale Factor

(round any decimals to1 place)

A2 3 4 5 20 x 2

for Quad Length

252 x 1.9

A1 3 4 5 10 132

A3 6 8 10 10 x 2

for Triangle Sides

288 x 2.2

A1 3 4 5 10 132

B1 6 8 10 20 x 2

for Tri Sides & Quad Length

528 x 4

A1 3 4 5 10 132

Triple 9 12 15 30 x 3

for Tri Sides & Quad Length

1,188 x 9

A1 3 4 5 10 132 1. Doubling just the Rectangular Side Length of a Tri Prism: a)More than Doubles b)Almost Doubles the Surface Area

2. Doubling all sides of the Triangle faces: a)More than Doubles b)Almost Doubles the Surf Area of a Triangular Prism

3. Doubling BOTH the Rectangular Length & the Triangle sides: a)Doubles b)Triples c)Quadruples the Surf Area

4. Tripling BOTH the Rectangular Length & the Triangle sides increases the Surface Area by a Factor of: _9_

5. Quadrupling BOTH the Rectangular Length & the Triangle sides would increase Surface Area by a Factor of: _16__

6. Suppose somebody shows you a Triangular Prism-shaped Tent made of valuable Gold thread! They offer to give you one that’s

even bigger, but you can double only 1 thing. Which option should you pick? a)Double Rect Length b)Double Triangle sides

7. Which kind of Triangle creates a Tri Prism having 3 Rectangular sides w/ the same area? a)Scalene b)Isosceles c)Equilateral

8. Which kind of Triangle creates a Tri Prism having 2 Rectangular sides w/ the same area? a)Scalene b)Isosceles c)Equilateral

E Analysis: Dimensions’ Effect on S.A. of a Tri Prism Last ______________________ first ______________________ Copyright © Bossy Brocci