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SURFACE AREA OF SOLIDS

SURFACE AREA OF SOLIDS. By: SAMUEL M. GIER. WHAT’S A SPACE FIGURE?. -any figure that is three –dimensional is a space figure. NOTE: All solids are three-dimensional. A. PRISM * SQUARE PRISM *RECTANGULAR PRISM * TRIANGULAR PRISM * CUBE. B. PYRAMIDS * SQUARE PYRAMIDS

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SURFACE AREA OF SOLIDS

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  1. SURFACE AREA OF SOLIDS By: SAMUEL M. GIER

  2. WHAT’S A SPACE FIGURE? -any figure that is three –dimensional is a space figure. NOTE: All solids are three-dimensional

  3. A. PRISM * SQUARE PRISM *RECTANGULAR PRISM * TRIANGULAR PRISM * CUBE B. PYRAMIDS * SQUARE PYRAMIDS * TRIANGULAR PYRAMIDS * RECTANGULAR PYRAMIDS THE COMMON SOLIDS A. POLYHEDRON

  4. COMMON SOLIDS CYLINDERS

  5. COMMON SOLIDS REFLECTIVE TRAFFIC CONE

  6. COMMON SOLIDS SPHERES THE EARTH BALLS

  7. SURFACE AREA OF SOLIDS

  8. SURFACE AREA ortotal area • The sum of the areas of the outer surfaces( FACES) of a solid. • Every solid figure has a surface area.

  9. SURFACE AREA OF PRISMS The faces of a prism which are not its bases are called LATERAL FACES. -is a polyhedron whose bases are congruent and parallel polygons. Base Lateral face Base

  10. SURFACE AREA OF A CUBE To find the surface area of a CUBE, multiply the SQUARE of the length of a side by 6. The faces of a CUBE are SQUARES and are equal to its BASES. The surface area of a CUBE with side s SA = 6s². Note: There are 6 faces of a cube. 2 bases and 4 lateral Faces. Base Lateral face

  11. EXAMPLE 1 Find the surface area of a cube, the lateral faces of which are bounded by a length of 5 cm. Solution: SA = 6s². = 6(5cm) ² = 6(25 cm²) SA= 150 cm² 5 cm 5 cm

  12. EXAMPLE 2 Solution: SA = 6s². = 6(10cm) ² = 6(100 cm²) SA= 600 cm² Find the surface area of a cube, the lateral faces of which are bounded by a length of 10 cm. 10 cm 10 cm

  13. SURFACE AREA OF A SQUARE PRISM To find the surface area of a SQUARE PRISM, add the area of the bases and the areas of its lateral faces. The Lateral faces of a SQUARE PRISM are RECTANGLES. The bases are SQUARES. Base Lateral face Note: There are 6 faces of a square prism. 2 bases and 4 lateral Faces. Height (h)

  14. SURFACE AREA OF A SQUARE PRISM The surface area of a SQUARE PRISM with BASE side sand HEIGHT h, SA = 2s² + 4 sh. Base Lateral face Note: A square prism has 2 bases and 4 lateral Faces. h Height (h) s s

  15. FIND THE SURFACE AREA OF A SQUARE PRISM SHOWN BELOW. Given: s = 3 cm, h= 8 cm Solution: SA = 2s² + 4 sh SA = 2(3 cm)² + 4 (3cm)(8 cm) SA = 2(9 cm²) + 4 (24 cm²) SA = 18 cm² + 96 cm² SA = 114 cm² 8 cm 3 cm 3 cm

  16. FIND THE SURFACE AREA OF A SQUARE PRISM SHOWN BELOW. Given: s = 2 cm, h= 6 cm Solution: SA = 2s² + 4 sh SA = 2(2 cm)² + 4 (2cm)(6 cm) SA = 2(4 cm²) + 4 (12 cm²) SA = 8 cm² + 48 cm² SA = 56 cm² 6 cm 2 cm 2 cm

  17. Find the surface area of the following solids. • 1. a cube with s = 2.2 cm. • 2. a square prism with s = 12 cm and h= 14 cm.

  18. ASSIGNMENTS • Which among the solids has only one vertex? • Which among the solids has congruent • circular bases? • 3.Which among the solids are bounded • by a regular polygon?

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