Area & Circumference of Circles
Mathematics, Grade 5
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S 9 x 6(3.14) + 2 x 9(3.14) • Solid figures are 3-dimensional figures that have length, width, and height. • The surface area of a solid figure is the sum of the areas of all its surfaces or faces. • A net is a pattern made to show each face of a solid figure flat. Surface Area of a Prism Surface Area of a Cylinder Surface Area of a Pyramid flattened cube rectangular prism 6 in. 3 ft 9 ft 8 in. 5 ft 6 ft h 5 ft 8 in. pyramid cylinder flattened cylinder r h flattened pyramid triangular face flattened prism cube front top side • Use the formula A = • w to find the area of each face. Face A : A = 6 x 4 = 24 Face B : A = 8 x 6 = 48 Face C : A = 8 x 4 = 32 Face D : A = 8 x 6 = 48 Face E : A = 8 x 4 = 32 Face F : A = 6 x 4 = 24 S = 85 ft2 S = S2 + 4 x ( b • h ) S = 25 + 4 x 15 S = 25 + 60 S 226.08 ft2 S = h x (2 r) + 2 x ( r2) S 9 x 18.84 + 2 x 28.26 S 169.56 + 56.52 4 in. 4 in. 6 in. F A E B C D A C E B D Surface Area (S) = area of square (A) + 4 x (area of triangular face) Surface Area (S) = area of lateral surface + 2 x (area of each base) 1 2 S = 52 + 4 ( x 5 x 6 ) 1 2 lateral surface base circumference of base r base r S = 9 x 6 + 2 x 9 S = 9 x (2 x x 3) + 2 x ( x 32) S © Copyright NewPath Learning. All Rights Reserved. 93-4609 www.newpathlearning.com Surface Areas of Solid Figures top face side face side face front face opposite to front face bottom face
• Solid figures are that have length, width, and height. • The surface area of a solid figure is the of the of all its surfaces or . • A is a pattern made to show each face of a solid figure flat. Surface Area of a Prism Surface Area of a Cylinder Surface Area of a Pyramid flattened cube rectangular prism 6 in. 3 ft 9 ft 8 in. 5 ft 6 ft h 5 ft 8 in. pyramid cylinder flattened cylinder r h flattened pyramid triangular face flattened prism cube front top side • Use the formula A = • w to find the area of each face. Face A : A = 6 x 4 = 2 4 Face B : A = 6 x 4 = Face C : A = 6 x 4 = Face D : A = 6 x 4 = Face E : A = 6 x 4 = Face F : A = 6 x 4 = S = 85 ft2 S = S2 + 4 x ( b • h) S = 5 + 4 x 15 S = 25 + 60 S 226.08 ft2 4 in. 4 in. 6 in. F A E B C D A C E B D Surface Area (S) = area of square (A) + 4 x (area of triangular face) Surface Area (S) = area of lateral surface + 2 x (area of each base) 1 2 S = 52 + 4 ( x 5 x 6 ) 1 2 lateral surface base circumference of base r base r Key Vocabulary Terms • base • circumference • cylinder • face • lateral area • prism • pyramid • solid figure • surface area S 9 x 6 ( 3.14 ) + 2 x 9 ( 3.14 ) S = h x (2 r) + 2 x ( r2) S 9 x 18.84 + 2 x 28.26 S 169.56 + 56.52 S = 9 x 6 + 2 x 9 S = 9 x ( 2 x x 3 ) + 2 x ( x 32) © Copyright NewPath Learning. All Rights Reserved. 93-4609 www.newpathlearning.com Surface Areas of Solid Figures top face side face side face front face opposite to front face bottom face \|xiBAHBDy01686rzu
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