Exploring the Volume of Rectangular Prisms

Dr. Nelson explains how to determine the volume of rectangular prisms by multiplying the area of the base by the height. The video includes examples of calculating volume, solving for unknown dimensions, and practice problems with solutions. Key concepts include understanding the formula for volume and applying algebra to find missing dimensions.

What is the formula to calculate the volume of a rectangular prism?

• Volume = (Length + Width) x Height

• Volume = Length x Width x Height

• Volume = Length x Width / Height

• Volume = Length + Width + Height

If a rectangular prism has a length of 8 inches, width of 3 inches, and height of 8 inches, what is its volume?

• 192 cubic inches

• 64 cubic inches

• 19 cubic inches

• 24 cubic inches

Why is it important to label the volume with a cubic unit?

• Both A and B are correct

• To differentiate it from area

• None of the above

• To indicate it is a three-dimensional measurement

In the formula for the volume of a rectangular prism, what does the base refer to?

• The top face of the prism

• The side of the prism

• The bottom face of the prism

• Any face of the prism

What is the first step in finding the volume of a rectangular prism?

• Divide the length by the width

• Add all the sides together

• Find the area of the base

• Multiply the height by the width

How do you find an unknown height of a rectangular prism if the volume, length, and width are known?

• Add length and width, then divide by volume

• Multiply volume by width, then divide by length

• Divide volume by the product of length and width

• Multiply length and width, then divide by volume

Given a volume of 450 cubic inches, length of 9 inches, and width of 5 inches, what is the height of the rectangular prism?

• 10 inches

• 45 inches

• 9 inches

• 5 inches

What happens if you know the height and width but need to find the length of a rectangular prism?

• You only need the width to find the length

• You only need the height to find the length

• You can find the length if you also know the volume

• You cannot find the length without the volume

What is the volume of a rectangular prism with length 11 inches, width 5 inches, and height 6 inches?

• 330 cubic centimeters

• 11 cubic centimeters

• 66 cubic centimeters

• 22 cubic centimeters

If the volume of a rectangular prism is 384 cubic inches, the width is 4 inches, and the height is 8 inches, what is the length?

• 12 inches

• 48 inches

• 32 inches

• 8 inches