Angles
What is an angle?
The space between two intersecting lines/rays, measured in degrees.
What is the triangle inequality rule?
short side + short side > long side, if this is true, you can make a triangle!
What is volume?
The amount of space inside of a 3D figure/how many cubic units fit into a space.
What is surface area?
The TOTAL area of a 3D shape.
A right angle is ______ degrees and makes an _____ shape.
90 degrees, L shape
How many triangles can you create with side lengths 5, 7, and 12?
None! 5 + 7 = 12, and 12 is NOT greater than 12.
What is the formula for the volume of a rectangular prism?
length x width x height
What is one strategy for finding the surface area of a 3D shape?
1. Drawing a net of the figure, then adding up the areas.
2. Drawing each shape separately, finding the area, and adding them together.
_______________ angles add up to 90 degrees.
Complementary
Given the lengths of 3, 4, and 5, can you draw a triangle? Explain why or why not.
Yes. 3 + 4 = 7, which is greater than 5.
What is the formula for a triangular prism?
length x width x height, divided by 2
Calculate the surface area of a cube with side length of 4 cm.
96 cm ^2
180 degrees
Two angles of a triangle measure 45 degrees and 55 degrees. What is the measure of the third angle?
80 degrees
A rectangular prism has a length of 4 cm, width of 3 cm, and height of 5 cm. What is its volume?
60 cm ^3
If a rectangular prism has a length of 2 m, width of 3 m, and height of 5 m, what is the surface area?
62 m^2
What are vertical angles?
Angles that are opposite each other where two lines cross.
Draw two different triangles with the following measurements: 90 degree angle, 5 cm side, and 4 cm side.
Answers vary.
If a prism has a base area of 20 sq meters and a height of 6 meter, what is its volume?
120 meters ^3
Name a real-life example of when you would use surface area.
Painting walls, wrapping a gift, etc.