Volume of a Rectangular Prism Pt1

Volume of a Rectangular Prism Pt1

Learning Goal

• Determine the volume of a right rectangular prism with whole-number side lengths and fractional side lengths.

• Solve real-world problems involving the volume of right rectangular prisms with whole-number side lengths and fractional side lengths.

Standards

• 6.GM.5

  Find the volume of a right rectangular prism with fractional edge lengths using unit cubes of the appropriate unit fraction edge lengths (e.g., using technology or concrete materials), and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths to solve real-world and other mathematical problems.

Standards

• 5.M.5

  Apply the formulas V = l × w × h and V = B × h for right rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths to solve real-world problems and other mathematical problems.

Multiple Choice

Review: Simplify this expression to it's simplest form. 

 $3\frac{2}{3}\cdot6\frac{3}{5}$  

•  $9\frac{5}{8}$  

•  $18\frac{6}{15}$  

•  $24\frac{1}{5}$  

•  $\frac{363}{15}$  

Let's look at the lesson

Formula for Volume of a Rectangular Prism

• V=bxwxh

• V=Bh

• Units cubed (to the third power)

   $u^3$  

Multiple Choice

What is the Volume of this shape?

• $13cm^2$

• $13cm^3$

• $56cm^2$

• $56cm^3$

Questions?

What is the area of this shape?

•  $V\ =\ b\cdot l\cdot h$  

•  $\frac{17}{4}\cdot\frac{5}{1}\cdot\frac{9}{1}$  

Multiple Choice

What is the volume of this shape?

• $13\frac{5}{13}in^3$

• $56\frac{5}{48}in^3$

• $\frac{693}{8}in^3$

• $86\frac{5}{8}in^3$

Questions?

Poll

How do you feel about volume?

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• Bad