Volume and Area Calculations

This video tutorial covers fractional lengths in triangles and prisms, focusing on calculating areas and volumes. It begins with an introduction to fractional lengths, followed by methods to find the area of triangles and techniques to determine missing lengths. The tutorial then explores volume calculations for cubes and prisms, concluding with homework problems and practice exercises.

What is the formula for the area of a triangle?

• Base plus height

• Base times height

• Half of base times height

• Base minus height

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

• 3

• 8

• 2

• 6

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

• 4

• 8

• 6

• 2

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

• 1/2 cubic inch

• 1/4 cubic inch

• 1 cubic inch

• 1/8 cubic inch

If a prism has a length of 1 inch, width of 1 inch, and height of 1/2 inch, what is its volume?

• 1 cubic inch

• 1/8 cubic inch

• 1/4 cubic inch

• 1/2 cubic inch

How many 1/2 inch cubes are needed to build a prism with dimensions 1 inch by 1 inch by 1 inch?

• 2

• 8

• 6

• 4

What is the volume of a rectangular prism with dimensions 1.5 inches by 2.25 inches by 4 inches?

• 14.5 cubic inches

• 15 cubic inches

• 12 cubic inches

• 13.5 cubic inches

How many small cubes with edge length 1/3 unit fit in a prism that is 5 units by 5 units by 8 units?

• 2000

• 600

• 1000

• 1500

If a builder uses 6 1/4 inch wide boards to build a 150-inch long fence, how many boards are needed?

• 25

• 30

• 20

• 24

What percentage of her goal has Lynn saved if she has saved $37.50 out of $75?

• 100%

• 75%

• 50%

• 25%