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Surface Area of Solids March 22, 2010
Three-Dimensional Figures Prism – a 3D solid with two parallel, congruent faces called bases Pyramid –a 3D solid with one base that is any polygon; the other faces are triangles Cylinder – a 3D solid that has two parallel, congruent circular bases connected with a curved side
Surface Area Surface area refers to the sum of the areas of all the surfaces of a 3D figure.   Also called Total Surface Area (TSA) Examples:  wrapping paper orange
Lateral Surface Area Lateral surface area of a solid only includes the faces or surfaces that make up the sides of the solid (not the base(s)) Examples:  Soup can label
With a partner, you will determine the surface area of various geometric solids.  How Do You Find the Surface Area of a Solid?
4*s2 where s = length of side 6*s2 4*s*h, where s=length of side of base, h = height (2*s2)+(4*s*h) 3*s*h, where s=length of side of base, h = height of prism (3*s*h)+(s*a) where a=altitude of triangle 3/2*s*l, where s=length of side of base, l=slant height (1/2*s*a)+(3/2*s*l) where a =altitude of triangle at base 2*s*l, where s=length of side of base, l=slant height s2 + (2*s*l) 2*π*r*h, where r = radius, h = height (2*π*r2)+(2*π*r*h)

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Surface Area Of Solids

  • 1. Surface Area of Solids March 22, 2010
  • 2. Three-Dimensional Figures Prism – a 3D solid with two parallel, congruent faces called bases Pyramid –a 3D solid with one base that is any polygon; the other faces are triangles Cylinder – a 3D solid that has two parallel, congruent circular bases connected with a curved side
  • 3. Surface Area Surface area refers to the sum of the areas of all the surfaces of a 3D figure. Also called Total Surface Area (TSA) Examples: wrapping paper orange
  • 4. Lateral Surface Area Lateral surface area of a solid only includes the faces or surfaces that make up the sides of the solid (not the base(s)) Examples: Soup can label
  • 5. With a partner, you will determine the surface area of various geometric solids. How Do You Find the Surface Area of a Solid?
  • 6. 4*s2 where s = length of side 6*s2 4*s*h, where s=length of side of base, h = height (2*s2)+(4*s*h) 3*s*h, where s=length of side of base, h = height of prism (3*s*h)+(s*a) where a=altitude of triangle 3/2*s*l, where s=length of side of base, l=slant height (1/2*s*a)+(3/2*s*l) where a =altitude of triangle at base 2*s*l, where s=length of side of base, l=slant height s2 + (2*s*l) 2*π*r*h, where r = radius, h = height (2*π*r2)+(2*π*r*h)

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