Volume and Height Calculations

This video tutorial teaches how to write and solve equations using the volume of a rectangular prism. It covers examples like an aluminum toolbox, a fish tank, and a rectangular prism, demonstrating how to find missing dimensions such as height and width. The lesson also explains using division and reciprocals to isolate variables in equations. The video concludes with a summary and encourages viewers to watch linked videos for further understanding.

What is the formula for the volume of a rectangular prism?

• Volume = Length x Height

• Volume = Length x Width

• Volume = Length x Width x Height

• Volume = Length + Width + Height

If the volume of a rectangular prism is given, what can you find using the formula?

• The weight of the prism

• The missing measurement of the prism

• The material of the prism

• The color of the prism

In the toolbox example, what is the first step to find the height?

• Add the length and width

• Subtract the width from the length

• Multiply the length and width

• Divide the volume by the length

What is the height of the toolbox if the volume is 864 cubic inches, length is 18 inches, and width is 8 inches?

• 4 inches

• 6 inches

• 8 inches

• 10 inches

How do you isolate the variable 'h' in the equation 144h = 864?

• Multiply both sides by 144

• Add 144 to both sides

• Divide both sides by 144

• Subtract 144 from both sides

What is the base area of the fish tank if the volume is 4500 cubic inches?

• 500 square inches

• 300 square inches

• 600 square inches

• 450 square inches

How do you find the height of the fish tank using the base area and volume?

• Divide the volume by the base area

• Multiply the base area by the volume

• Subtract the base area from the volume

• Add the base area to the volume

What is the height of the fish tank if the volume is 4500 cubic inches and the base area is 300 square inches?

• 15 inches

• 18 inches

• 12 inches

• 10 inches

In the rectangular prism example, what is the first step to find the width?

• Add the length and height

• Subtract the height from the length

• Multiply the length and height

• Divide the volume by the product of length and height

What is the width of the rectangular prism if the volume is 1/2 cubic yard, length is 3 3/4 yards, and height is 1 1/3 yards?

• 1/2 yard

• 1/4 yard

• 1 yard

• 3/4 yard