Unit 10: Volume - Lesson 1

Unit 10: Volume

Lesson 1 - Volume of Rectangular Prism

Vocabulary

Volume: the amount of space a solid object, or 3D shape takes up.

Volume has CUBED or CUBIC units or units³

Rectangular Prism: 3D shape, with 6 faces that are rectangles.

Volume of a Rectangular Prism

 $Volume=length\times width\times height$  Or  $Volume=Area\ of\ base\times height$   
 $V=lwh$  or  $V=Bh$  

B= Area of base

Multiple Choice

Which formula can be used to find the volume of a rectangular prism?

• $length\times width$
  

• $length\times width\times height$
  

• $length\times height$
  

• $length+width+height$
  

Multiple Choice

What is the volume of this prism?

• 2 cubic in
• 12 cubic in
• 13 cubic in

Multiple Choice

What is the volume of this prism?

• 16 cubic cm

• 12 cubic cm

• 48 cubic cm

Multiple Choice

What is the volume of this prism?

• 6 cubic in

• 12 cubic in

• 24 cubic in

Multiple Choice

What is the volume of the cereal box?

• 23 in³
• 97 in³
• 132 in³
• 288 in³

Multiple Choice

An aquarium holds 42 cubic feet of water.  What could be the dimensions of the aquarium?

• 2 x 3 x 7
• 2 x 3 x 6
• 2 x 3 x 5
• 2 x 3 x 4

Work backwords:

If you are asked to determine the measurements of a rectangular prism, and given answer choices:

Step 1: Find the volume of each answer choice

Step 2: Compare your answer, to the volume in the problem

Multiple Choice

Joy wants to create a box with a volume of 8 cubic units. Which dimensions would work?

• length: 8 units
  width: 8 units
  height: 8 units
• length: 2 units
  width 4 units
  height: 3 units
• length: 4 units
  width: 2 units
  height: 2 units
• length: 2 units
  width: 4 units
  height: 1 unit