HOW TO CALCULATE SURFACE AREA

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Presentation transcript:

HOW TO CALCULATE SURFACE AREA

SURFACE AREA Surface area is the sum of the areas of all the faces of a solid.

Surface Area of a Rectangular Prism 5 cm 4 cm 10 cm

Surface Area of a Rectangular Prism TOP 5 cm SIDE FRONT 4 cm 10 cm

Surface Area of a Rectangular Prism TOP 5 cm SIDE FRONT 4 cm 10 cm Area of top and bottom A=LW A=10x4 = 40 x 2 = 80cm2

Surface Area of a Rectangular Prism TOP 5 cm SIDE FRONT 4 cm 10 cm Area of top and bottom A=LW A=10x4 = 40 x 2 = 80cm2 Area of front and back 10x5 = 50 x 2 = 100cm2

Surface Area of a Rectangular Prism TOP 5 cm SIDE FRONT 4 cm 10 cm Area of top and bottom A=LW A=10x4 = 40 x 2 = 80cm2 Area of front and back 10x5 = 50 x 2 = 100cm2 Area of sides 4x5 = 20 x 2 = 40cm2

Surface Area of a Rectangular Prism TOP 5 cm SIDE FRONT 4 cm 10 cm Area of top and bottom A=LW A=10x4 = 40 x 2 = 80cm2 Area of front and back 10x5 = 50 x 2 = 100cm2 Area of sides 4x5 = 20 x 2 = 40cm2 -------- SURFACE AREA 220cm2

Ex 1: Find the S.A. Rectangular Prism 5 cm 3 cm 21 cm

Find the surface area 5 cm 3 cm 21 cm Top and bottom 21x3 = 63 x 2 = 126cm2 Front and back 21x5 = 105 x 2 = 210cm2 Sides 3x5 = 15 x 2 = 30cm2 ________ SURFACE AREA 366cm2

SA: L.A.+ 2B (L.A.=perimeter of the base(height) Triangular Prism SA: L.A.+ 2B (L.A.=perimeter of the base(height) SA:(16+12+20)(10)+ 2(1/2(16)(12)) SA: 480+192 SA: 672cm2

Ex 2: Find the S.A. of the Triangular Prism

Answer: SA: L.A.+ 2B S.A: (3+4+5)(11) + 2(1/2(3)(4)) S.A: 132+12 =144 cm2

Sphere SA: 4пr2 SA:4(3.14)(10)2 SA: 1256cm2

Example 3: Find the S.A of the Sphere

Answer: S.A: 4пr2 S.A: 4(3.14)(5)2 S.A: 314units2

Cone SA:(3.14)42 + 3.14(4)(6) SA: 50.24+ 75.36 SA: 125.6 units2

Example 4: Find the S.A of the Cone

Answer: SA: пrl + пr2 S.A: 3.14(5)(13) + 3.14(5)2 S.A: 204.1+78.5 = 282.6 m2

Pyramid SA: n(1/2(b)(l)) + B SA:4(1/2)(6)(8) + 62 S.A: 96+ 36

Example 5: Find the S.A of the Pyramid

Answer: SA: n(1/2(b)(l)) + B S.A: 4(1/2(10)(18) + 102 S.A: 360+100 =460 cm2

Cylinder S.A: 2пrh + 2пr2 S.A: 2(3.14)(5)(10) + 2(3.14)(5)2 S.A: 314 + 157= 471m2

Example 6: Find the S.A of the Cylinder

Answer: S.A: 2пrh + 2пr2 S.A: 2(3.14)(4)(9) + 2(3.14)(4)2 S.A: 226.08+ 100.48= 326.56m2