surface area & volume of prisms. prisms are 3-d shapes triangular prismrectangular prism cube

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Surface Area & Volume of Prisms

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Page 1: Surface Area & Volume of Prisms. Prisms are 3-D shapes Triangular PrismRectangular Prism Cube

Surface Area & Volumeof Prisms

Page 2: Surface Area & Volume of Prisms. Prisms are 3-D shapes Triangular PrismRectangular Prism Cube

Surface Area & Volume of Prisms

Prisms are 3-D shapes

Triangular Prism Rectangular Prism

Cube

Page 3: Surface Area & Volume of Prisms. Prisms are 3-D shapes Triangular PrismRectangular Prism Cube

Surface Area & Volume of Prisms

To determine the surface area of prisms find the area of each side

To determine the volume of prisms use the formula

Volume of a Prism: V = B x hB = Area of base

h = height

Page 4: Surface Area & Volume of Prisms. Prisms are 3-D shapes Triangular PrismRectangular Prism Cube

Surface Area & Volume of Prisms

Example 1: Find the surface area of the

following prism.

Area of Top & Bottom

A = 2(l x w)

A = 2(3 x 4)

A = 24 cm2

Area of Sides

A = 2(l x w)

A = 2(4 x 12)

A = 96 cm2

Area of Front & Back

A = 2(l x w)

A = 2(3 x 12)A = 72 cm2

Page 5: Surface Area & Volume of Prisms. Prisms are 3-D shapes Triangular PrismRectangular Prism Cube

Surface Area & Volume of Prisms

Area of Rectangular Prism

Add up the areas of all the sides

A = 72 + 24 + 96

A = 192 cm2

Page 6: Surface Area & Volume of Prisms. Prisms are 3-D shapes Triangular PrismRectangular Prism Cube

Surface Area & Volume of Prisms

Example 2: Find the surface area of the

following prism.Area of Front & Back

A = 2(½bh)

A = 2(½ x2x3)

A = 2(3)

A = 6 m2

Page 7: Surface Area & Volume of Prisms. Prisms are 3-D shapes Triangular PrismRectangular Prism Cube

Surface Area & Volume of Prisms

Area of Sides

Side 1 Side 2

A = (l x w) A = (l x w)

A = (3 x 5) A = (4 x 5)

A = 15 m2 A = 20 m2

Side 3

A = (l x w)

A = (2 x 5)

A = 10 m2

Area of Triangular Prism

A = 10 + 15 + 20 + 6

A = 51 m2

Page 8: Surface Area & Volume of Prisms. Prisms are 3-D shapes Triangular PrismRectangular Prism Cube

Surface Area & Volume of Prisms

Example 3: Find the volume of the following

prism.

V = B x h

V = (4 x 6) x 5

V = (24) x 5

V = 120 cm2

B = Area of base

Page 9: Surface Area & Volume of Prisms. Prisms are 3-D shapes Triangular PrismRectangular Prism Cube

Homework

Do # 1 - 6 from 7.3 for Monday April 6th

Have a great weekend