Calculating the Volume of Rectangular Prisms

In this video, Mr. J teaches fifth-grade students how to calculate the volume of rectangular prisms. The video covers the concept of volume as the space an object occupies and introduces two formulas: length times width times height, and area of the base times height. Through four examples, Mr. J demonstrates how to apply these formulas, including handling unit conversions. The video concludes with a prompt for students to practice on their own using a mastery check.

What does volume measure in a three-dimensional space?

• The surface area of the object

• The amount of space the object occupies

• The length of the object

• The weight of the object

Which formula is used to calculate the volume of a rectangular prism?

• Volume = Length/Width x Height

• Volume = (Length x Width)/Height

• Volume = Length x Width x Height

• Volume = Length + Width + Height

Tags

CCSS.7.G.B.6

What does the 'B' stand for in the volume formula V = Bh?

• The breadth of the base

• The base's diagonal length

• The perimeter of the base

• The area of the base

Tags

CCSS.7.G.B.6

What does the 'l' stand for in the formula V = lwh?

• Latitude

• Length

• Layer

• Leverage

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

How do you label the volume of an object measured in feet?

• Square feet

• Feet squared

• Cubic feet

• Feet

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

If a rectangular prism has a length of 5 feet, width of 4 feet, and height of 15 feet, what is its volume?

• 300 cubic feet

• 60 cubic feet

• 95 cubic feet

• 20 cubic feet

Tags

CCSS.7.G.B.6

What is the volume of a rectangular prism with dimensions 4cm x 10cm x 2cm?

• 80 cubic centimeters

• 40 cubic centimeters

• 20 cubic centimeters

• 16 cubic centimeters

Tags

CCSS.7.G.B.6

Why is it important to use consistent units when calculating volume?

• To reduce the volume

• To ensure accuracy

• Because it's easier to do the math

• To make the object larger

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

How do you convert feet to inches in the context of calculating volume?

• Multiply by 3

• Divide by 3

• Divide by 12

• Multiply by 12

Tags

CCSS.2.MD.A.2

What is the volume of a rectangular prism with dimensions 2 inches x 4 inches x 12 inches?

• 96 cubic inches

• 24 cubic inches

• 48 cubic inches

• 8 cubic inches

Tags

CCSS.7.G.B.6