Volume and Height of Prisms

This video tutorial covers the calculation of volume for rectangular prisms and composite figures. It explains how to determine the area of the base, calculate the height from given volume and base area, and find the volume of unfilled space in a tank. The tutorial also demonstrates how to calculate the volume of composite figures by breaking them into simpler shapes and using equations to solve for total volume.

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

• Width x Height

• Length x Width

• Length x Width x Height

• Length + Width + Height

If the volume of a rectangular prism is 21 12 feet cubed and the height is 3/4 feet, what is the area of the base?

• 1 1/3 feet squared

• 1 1/4 feet squared

• 2 1/3 feet squared

• 2 1/4 feet squared

How do you find the height of a rectangular prism if you know the volume and the area of the base?

• Subtract the area of the base from the volume

• Multiply the volume by the area of the base

• Add the volume and the area of the base

• Divide the volume by the area of the base

What is the remaining height of a tank if the total height is 2 feet and the water is 1/3 feet deep?

• 2 1/3 feet

• 2 feet

• 1 2/3 feet

• 1 1/3 feet

How can you calculate the volume of a composite figure made of two rectangular prisms?

• Divide the volume of one prism by the other

• Subtract the volume of one prism from the other

• Multiply the volumes of the two prisms

• Add the volumes of the two prisms

What is the first step in writing an equation for the volume of a composite figure?

• Determine the total volume

• Calculate the area of the base

• Divide the figure into smaller prisms

• Find the total height of the figure