Please complete warm up and write down the Homework Tuesday, February 21st Please complete warm up and write down the Homework Warm Up Solve the Proportion 2. Find the Surface Area 5 in. 4 in. 3 in.
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Volume and Surface Area Goal for today Volume and Surface Area Triangular AND Rectangular PRISMS
Surface Area
How would you describe: Net Volume And Surface Area
Using a Net Using a Formula Part 1: Surface Area Using a Net Using a Formula
Nets Find the area to each shape in the net. Add the areas up to find the TOTAL AREA Draw a net to help you see each face of the prism. Use the formula A = lw to find the area of each face.
Finding the Areas of each! A: A = 5 2 = 10 B: A = 12 5 = 60 C: A = 12 2 = 24 D: A = 12 5 = 60 E: A = 12 2 = 24 F: A = 5 2 = 10 Add the areas of each face. S = 10 + 60 + 24 + 60 + 24 + 10 = 188 The surface area is 188 in2.
You Try #1 Rectangle
Remember! Area of a TRIANGLE is ½ x b x h
You Try #2 Triangular Prism 12 in 5 in 4 in
You Try #3 Triangular Prism 3 in 7 in 11 in
Surface Area with Formulas
#1 Try Together! SA= 2(lw)+2(wh)+2(lh) SA=_____________+_____________+___________ SA=_________
#2 You Try! SA= 2(lw)+2(wh)+2(lh) SA=_____________+_____________+___________ SA=_________
Part 2: Volume
To find the volume of any prism, you can use the formula V= Bh,where B is the area of the base, and h is the prism’s height. The base of a RECTANGULAR prism is a rectangle so the base is: l x w To find the volume of a triangular prism, B is the area of the triangular base so the base is: ½ x b x h
#1 You Try! A=bh B= l x w 16 in. 12 in. 29 in. V = lwh Write the formula. V = 29 • 12 • 16 l = 29; w = 12; h = 16 V = 5,568 in3 Multiply.
A rectangular prism with base length 6 ft, width 5 ft, and height 7 ft #2 You Try! A=bh B= l x w A rectangular prism with base length 6 ft, width 5 ft, and height 7 ft
#3 Try Together! A=bh B= ½ x b x h V = Bh Write the formula. 1 2 __ B = • 3.9 • 1.3; h = 4. 1 2 __ V = 10.14 m3 Multiply.
The bases of a prism are always two congruent, parallel polygons. Caution!
#4 You Try A=bh B= ½ x b x h V = Bh Write the formula. 1 2 __ B = • 6.5 • 7; h = 6. 1 2 __ V = 136.5 ft 3 Multiply.
#5 You Try A=bh B= ½ x b x h 9 ft 5 ft 4.5 ft V = Bh Write the formula. V = ( • 4.5 • 9) • 5 1 2 __ B = • 4.5 • 9; h = 5. 1 2 __ V = 101.25 ft3 Multiply.