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Surface Area of Triangular Prisms Greg Morrison

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Page 1: Surface Area of Triangular Prisms Greg Morrison. Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction

Surface Area of Triangular Prisms

Greg Morrison

Page 2: Surface Area of Triangular Prisms Greg Morrison. Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction

• Definition:The sum of the areas of all of the faces of a three-dimensional figure.

• Ex. How much construction paper will I need to fit on the outside of the shape?

Page 3: Surface Area of Triangular Prisms Greg Morrison. Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction

A triangular prism has 5 faces.

FRONT

BACK

RIGHT

LEFT

BOTTOM

•2 Triangular bases•3 rectangular sides

Page 4: Surface Area of Triangular Prisms Greg Morrison. Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction

Surface Area of a Triangular Prism

                                                          If we break down our triangular prism into a net,it looks like this:                                                             

In a triangular prism there are five sides, two triangles and three rectangles.

Page 5: Surface Area of Triangular Prisms Greg Morrison. Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction

A triangular prism has 5 faces.

FRONT

BACK

RIGHT

LEFT

BOTTOM

Page 6: Surface Area of Triangular Prisms Greg Morrison. Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction

In order to find the surface area, find the area of each face. Then sum all of the

areas.

FRONT

BACK

RIGHT

LEFT

BOTTOM

Page 7: Surface Area of Triangular Prisms Greg Morrison. Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction

Side 1 ½(9 × 4) 18 cm2

Side 2 ½(9 × 4) 18 cm2

Side 3 4.5 x 8.1 36.45 cm2

Side 4 9 x 8.1 72.9 cm2

Side 5 7.2 x 8.1 58.32 cm2

TOTAL 203.67 cm2

Page 8: Surface Area of Triangular Prisms Greg Morrison. Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction

Practice Time!

Page 9: Surface Area of Triangular Prisms Greg Morrison. Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction

Find the Surface Area

Page 10: Surface Area of Triangular Prisms Greg Morrison. Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction

Find the Surface Area

8.5 cm2.2 cm

2 cm

Page 11: Surface Area of Triangular Prisms Greg Morrison. Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction

Find the Surface Area

5 cm3 cm

Page 12: Surface Area of Triangular Prisms Greg Morrison. Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction

Find the Surface Area