Geometry Concepts and Problem Solving

This lesson covers fractional lengths in triangles and prisms, focusing on calculating area and volume. It begins with an introduction to the topic, followed by methods to find the area of triangles using fractional lengths. The lesson then explores solving for missing lengths in triangles when the area is known. It transitions to calculating the volume of cubes and prisms, providing practical examples. The session concludes with a summary and homework instructions.

What is the formula for the area of a triangle?

• Base plus height

• Base times height

• Base minus height

• Half of base times height

Why is the area of a triangle half of the base times the height?

• Because a triangle is half of a parallelogram

• Because a triangle is half of a circle

• Because a triangle is half of a rectangle

• Because a triangle is half of a square

If the area of a triangle is 8 square units and the height is 8/3, what is the base?

• 2

• 6

• 3

• 8

How do you find the missing length in a triangle when the area is given?

• Multiply the area by the height

• Divide the area by the base

• Divide the area by the height

• Multiply the area by the base

What is the volume of a cube with an edge length of 1/2 inch?

• 1 cubic inch

• 1/4 cubic inch

• 1/2 cubic inch

• 1/8 cubic inch

How many 1/2 inch cubes are needed to fill a 1-inch cube?

• 2

• 4

• 6

• 8

What is the volume of a prism with dimensions 1.5 in by 2.4 in by 4 in?

• 13.5 cubic inches

• 15 cubic inches

• 12 cubic inches

• 14 cubic inches

How do you calculate the volume of a rectangular prism?

• Length plus width times height

• Length times width plus height

• Length times width times height

• Length plus width plus height

If a cube has an edge length of 4 inches, how many 1/2 inch cubes are needed to fill it?

• 512

• 256

• 128

• 64

What is the height of a triangle with an area of 7 7/8 and a base of 5 1/4?

• 5 cm

• 4 cm

• 3 cm

• 2 cm