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## Area & Circumference of Circles

### Mathematics, Grade 4

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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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