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*
*Surface Area – the total area of the surface of a 
three-dimensional object 
*In order to find the total surface area of an 
object, you must find the area of all its sides. 
*Use your Chapter 12 Formula Sheet as a 
reference.
* Rectangular Prism - A solid (three-dimensional) 
object which has six faces that are rectangles. 
It has the same cross-section along a length, 
which makes it a prism. 
* SA = 2푙푤 + 2ℎ푤 + 2푙ℎ 
* 푙 = 7.9 푐푚 푤 = 4.5 푐푚 ℎ = 4.0 푐푚 
*
* Rectangular Prism - A solid (three-dimensional) 
object which has six faces that are rectangles. It 
has the same cross-section along a length, which 
makes it a prism. 
* SA = 2푙푤 + 2ℎ푤 + 2푙ℎ 
* 푙 = 7.9 푐푚 푤 = 4.5 푐푚 ℎ = 4.0 푐푚 
* 푆퐴 = 2 7.9 4.5 + 2 4.0 4.5 + 2(7.9)(4.0) 
* 푺푨 = ퟏퟕퟎ. ퟑ 풄풎ퟐ 
*
*Cylinder - a solid geometric figure with straight 
parallel sides and a circular or oval cross 
section. 
*푆퐴 = 2휋푟2 + 2휋푟ℎ 
*푟 = 5 푦푑 ℎ = 12 푦푑 
*
*Cylinder - a solid geometric figure with straight 
parallel sides and a circular or oval cross 
section. 
*푆퐴 = 2휋푟2 + 2휋푟ℎ 
*푟 = 5 푦푑 ℎ = 12 푦푑 
*푆퐴 = 2휋(5)2 + 2π(5)(12) 
*푺푨 = ퟓퟑퟒ. ퟏ 풚풅ퟐ 
*
*Triangular Prism - a three-sided prism; it is a 
polyhedron made of a triangular base, a 
translated copy, and 3 faces joining corresponding 
sides. 
*푆퐴 = 푃ℎ + 2퐵 
*푃 = 5 + 4 + 7 = 16m 
*퐵 = 
* 
1 
2 
7 2.8 = 9.8푚 
*ℎ = 6푚
*Triangular Prism - a three-sided prism; it is a 
polyhedron made of a triangular base, a translated 
copy, and 3 faces joining corresponding sides. 
*푆퐴 = 푃ℎ + 2퐵 
*푃 = 5 + 4 + 7 = 16m 
*퐵 = 
* 
1 
2 
7 2.8 = 9.8푚 
*ℎ = 6푚 
*푆퐴 = 16 6 + 2 9.8 
*푺푨 = ퟏퟏퟓ. ퟔ 풎ퟐ
*Cone - a solid or hollow object that tapers 
from a circular or roughly circular base to a 
point. 
*푆퐴 = 휋푟푠 + 휋푟2 
*푟 = 5푐푚 푠 = 11푐푚 
*
*Cone - a solid or hollow object that tapers 
from a circular or roughly circular base to a 
point. 
*푆퐴 = 휋푟푠 + 휋푟2 
*푟 = 5푐푚 푠 = 11푐푚 
*푆퐴 = 휋 5 11 + 휋(5)2 
*푺푨 = ퟐퟓퟏ. ퟑ 풄풎ퟐ 
*
*Pyramid - a monumental structure with a 
square or triangular base and sloping sides that 
meet in a point at the top 
*푆퐴 = 2푏푠 + 푏2 
*푏 = 7푓푡 푠 = 8.7푓푡 
*
*Pyramid - a monumental structure with a 
square or triangular base and sloping sides that 
meet in a point at the top 
*푆퐴 = 2푏푠 + 푏2 
*푏 = 7푓푡 푠 = 8.7푓푡 
*푆퐴 = 2 7 8.7 + (7)2 
*푺푨 = ퟏퟕퟎ. ퟖ 풇풕ퟐ 
*

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12 2 surface area of solids

  • 1. *
  • 2. *Surface Area – the total area of the surface of a three-dimensional object *In order to find the total surface area of an object, you must find the area of all its sides. *Use your Chapter 12 Formula Sheet as a reference.
  • 3. * Rectangular Prism - A solid (three-dimensional) object which has six faces that are rectangles. It has the same cross-section along a length, which makes it a prism. * SA = 2푙푤 + 2ℎ푤 + 2푙ℎ * 푙 = 7.9 푐푚 푤 = 4.5 푐푚 ℎ = 4.0 푐푚 *
  • 4. * Rectangular Prism - A solid (three-dimensional) object which has six faces that are rectangles. It has the same cross-section along a length, which makes it a prism. * SA = 2푙푤 + 2ℎ푤 + 2푙ℎ * 푙 = 7.9 푐푚 푤 = 4.5 푐푚 ℎ = 4.0 푐푚 * 푆퐴 = 2 7.9 4.5 + 2 4.0 4.5 + 2(7.9)(4.0) * 푺푨 = ퟏퟕퟎ. ퟑ 풄풎ퟐ *
  • 5. *Cylinder - a solid geometric figure with straight parallel sides and a circular or oval cross section. *푆퐴 = 2휋푟2 + 2휋푟ℎ *푟 = 5 푦푑 ℎ = 12 푦푑 *
  • 6. *Cylinder - a solid geometric figure with straight parallel sides and a circular or oval cross section. *푆퐴 = 2휋푟2 + 2휋푟ℎ *푟 = 5 푦푑 ℎ = 12 푦푑 *푆퐴 = 2휋(5)2 + 2π(5)(12) *푺푨 = ퟓퟑퟒ. ퟏ 풚풅ퟐ *
  • 7. *Triangular Prism - a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. *푆퐴 = 푃ℎ + 2퐵 *푃 = 5 + 4 + 7 = 16m *퐵 = * 1 2 7 2.8 = 9.8푚 *ℎ = 6푚
  • 8. *Triangular Prism - a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. *푆퐴 = 푃ℎ + 2퐵 *푃 = 5 + 4 + 7 = 16m *퐵 = * 1 2 7 2.8 = 9.8푚 *ℎ = 6푚 *푆퐴 = 16 6 + 2 9.8 *푺푨 = ퟏퟏퟓ. ퟔ 풎ퟐ
  • 9. *Cone - a solid or hollow object that tapers from a circular or roughly circular base to a point. *푆퐴 = 휋푟푠 + 휋푟2 *푟 = 5푐푚 푠 = 11푐푚 *
  • 10. *Cone - a solid or hollow object that tapers from a circular or roughly circular base to a point. *푆퐴 = 휋푟푠 + 휋푟2 *푟 = 5푐푚 푠 = 11푐푚 *푆퐴 = 휋 5 11 + 휋(5)2 *푺푨 = ퟐퟓퟏ. ퟑ 풄풎ퟐ *
  • 11. *Pyramid - a monumental structure with a square or triangular base and sloping sides that meet in a point at the top *푆퐴 = 2푏푠 + 푏2 *푏 = 7푓푡 푠 = 8.7푓푡 *
  • 12. *Pyramid - a monumental structure with a square or triangular base and sloping sides that meet in a point at the top *푆퐴 = 2푏푠 + 푏2 *푏 = 7푓푡 푠 = 8.7푓푡 *푆퐴 = 2 7 8.7 + (7)2 *푺푨 = ퟏퟕퟎ. ퟖ 풇풕ퟐ *