The document discusses how to calculate the surface area of different 3D shapes like rectangular prisms, cylinders, triangular prisms, cones, and pyramids. It provides the formulas for surface area of each shape and works through examples of using the formulas to find the surface area when given dimensions of the shape.

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
*