Introduction to Volume of Composite Rectangles

What is the first thing you should do when you see a shape made out of 2 rectangular prisms?

• panic!

• Multiply all of the sides

• Find the l, w, and h

• "cut" the shapes

Tags

CCSS.5.MD.C.5C

Which of these correctly "cuts" this figure into 2 rectangular prisms?

• 
• 
• 
• 
• 

Tags

CCSS.1.G.A.2

After you "cut" it, what do you do?

• Find the l, w, and h of both

• "cut" the shapes again

• Multiply all the sides together

• Add all the sides together

Tags

CCSS.5.MD.C.5A

CCSS.6.G.A.2

What is the l, w, and h of rectangle A?

• l=10

  w=12

  h=2

• l=10

  w=4

  h=2

• l=8

  w=10

  h=2

• It is impossible to find with the information given

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What is the l, w, and h of rectangle B?

• l=8

  w=12

  h=2

• l=10

  w=4

  h=2

• l=8

  w=3

  h=2

• It is impossible to find with the information given

After you find the l, w, and h of both, what do you do?

• Find the volume of both

• Multiply all the numbers together

• Add all the numbers together

• cut it again

Tags

CCSS.5.MD.C.5C

After you have the volume of A AND the area of B, what do you do?

• Find the volume of the blank space

• Put them together (multiply them)

• Put them together (add them)

• cut it again

Tags

CCSS.7.G.B.6

If rectangle B's l=8, w=3, and h=2, what is the volume of rectangle B in cubic mm?

Tags

CCSS.5.MD.C.5C

If rectangle B's l=8, w=3, and h=2, what is the volume of rectangle B in cubic mm?

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

If rectangle A's volume is 80 mm³ and rectangle B's volume is 48 mm³, what is the volume of the whole figure in cubic mm?

Tags

CCSS.5.MD.C.5C