Volume and Area of Prisms and Squares

This video tutorial by Mr. Holcomb covers lesson 9 of the math behind modules, focusing on examples of functions from geometry. It includes exercises on calculating the area of inner and outer squares, writing functions for border areas, and determining the volume of prisms. The tutorial emphasizes the use of formulas and strategies for solving geometry problems, with a focus on understanding and applying mathematical concepts.

What is the area of a square with a side length of 6 inches?

• 12 square inches

• 36 square inches

• 24 square inches

• 18 square inches

How do you calculate the area of the white border around a square?

• Subtract the area of the inner square from the outer square

• Divide the area of the outer square by the inner square

• Add the areas of the inner and outer squares

• Multiply the areas of the inner and outer squares

If the side of a smaller square is 9 inches, what is the side length of the larger square with a 1-inch border?

• 10 inches

• 11 inches

• 12 inches

• 13 inches

What is the formula for the area of a white border around a square with side length 's'?

• s^2 - (s - 1)^2

• (s + 2)^2 + s^2

• (s + 2)^2 - s^2

• (s + 1)^2 - s^2

What is the height of a prism if its volume is 61.6 cubic inches, length is 8 inches, and width is 2.2 inches?

• 3.5 inches

• 4.5 inches

• 5.5 inches

• 6.5 inches

How do you find the volume of a prism?

• Length + Width + Height

• Length + Width x Height

• Length x Width x Height

• Length x Width + Height

What is the ratio of the volume of a larger prism to a smaller prism if their volumes are 315 and 27 cubic centimeters respectively?

• 11:1

• 12:1

• 13:1

• 14:1

What is the volume of a prism with a base area of 36 square centimeters and a height of 3 centimeters?

• 144 cubic centimeters

• 108 cubic centimeters

• 72 cubic centimeters

• 180 cubic centimeters

If a prism has a base area of 36 square centimeters, what is the volume when the height is 8 centimeters?

• 216 cubic centimeters

• 180 cubic centimeters

• 324 cubic centimeters

• 288 cubic centimeters

What function can be used to determine the volume of any rectangular prism with a base of 36 square centimeters?

• Volume = 36 - Height

• Volume = 36 / Height

• Volume = 36 x Height

• Volume = 36 + Height