Unit 7 Lesson 4 Class Notes
Vocabulary:
Net: A 2-Dimensional representation of a 3-Dimensional object. This shape is achieved by
“unfolding” the object as if it were made out of paper.
Example: To the right is a net for the cube.
Prism: A 3-dimensional object with parallel congruent bases and rectangles for lateral faces.
Cube
Square Based Prism
Rectangular Prism
Trapezoid Based Prism
Trapezoid Based Prism
Triangle Based Prism
Triangle Based Prism
Lateral Face of a Prism: A rectangle that connects the bases of a prism.
Base of a Prism: One of two congruent figures that are parallel to each other in a prism. In the
examples above the prisms are named by the bases except the cube which is made entirely out of
squares.
Cylinder: A prism with a circle for a base.
Lateral Surface Area:
The sum of all the areas of the rectangles that are NOT bases.
Total Surface Area: All the areas of the faces and bases of a prism. In other words, the area of
the bases added to the lateral surface area.
Surface Area Formulas:
Object
Triangular Based Prism
Cube with sides (S)
Square Based Prism
Rectangular Based Prism
Trapezoid Based Prism
Cylinder
©Goodrich 2009
Lateral Surface Area (LA)
Perimeter of Base x Height
Perimeter of Base x Height
Perimeter of Base x Height
Perimeter of Base x Height
Perimeter of Base x Height
Circumference of Base x Height
Total Surface Area (TA)
LA + 2(Area of Triangle)
LA + 2(Area of Square)
LA + 2(Area of Square)
LA + 2(Area of Rectangle)
LA + 2(Area of Trapezoid)
LA + 2(Area of Circle)
Unit 7 Lesson 4
Name: ___________________________________ Period: ________
Directions: Draw the net for each shape and calculate the Lateral Surface Area and the Total
Surface Area for each.
1)
2)
10 cm
5 cm
5 cm
Cube
Square Based Prism
3)
4)
12 cm
8 cm
4 cm
10 cm
5 cm
5 cm
4 cm
18 cm
6 cm
Height of the Trapezoid is 3 cm
©Goodrich 2009
16 cm
Height of the Trapezoid is 2 cm
5)
6)
4 cm
5 cm
10 cm
7)
8)
Radius = 6 cm
Height = 8 cm
©Goodrich 2009