Volume and Area of a Rectangle with Fractional Sides

• 2 x 3 x 4 =24 units cubed
• 3 x 2 x 5 = 30 units cubed  
• 2 x 5 = 10 units squared
• 5 x 6 x 2 = 60 units cubed

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.4

CCSS.5.MD.C.5

CCSS.5.MD.C.6

What is the volume of Box A? What is the volume of  of Box B?

• Box A: 4 x 4 x 5 = 80 units cubed Box B: 6 x 3 x 3 = 54 units cubed
• Box A: 4 x 3 x 5 = 60 units cubed Box B: 6 x 3 x 2 = 36 units cubed
• Box A: 4 x 3 x 5 = 60 units cubed Box B: 6 x 3 x 3 = 54 units cubed
• Box A: 4 x 5 = 20 units squared Box B:  3 x 3 = 9 units squared

• Yes, Cole is correct
• No, Cole is incorrect

• 4 x 4 x 5 = 80 inches cubed
• 4 x 4 x 5 = 80 inches 
• 4 x 5 x 5 = 100 inches cubed
• 4 x 4 x 5 = 80

• The number of total cubes would change because we would have to multiply 4 x 4 x 4 = 64. The shape would be the same size.
• The number of total cubes wouldn’t change because we would still multiply 4 x 4 x 5 = 80. The shape would be much bigger because centimeters are bigger than inches. 
• The number of total cubes wouldn’t change because we would still multiply 4 x 4 x 5 = 80. Centimeters are smaller than inches.  Overall the volume would be smaller and the shape would take up more  3-dimensional space. 
• The number of total cubes wouldn’t cange because we would still multiply 4 x 4 x 5 = 80. However, the shape would be much smaller because centimeters are smaller than inches.  Overall the volume would be smaller and the shape would take up less  3-dimensional space. 

• 10 pieces of fudge per layer.
• 6 pieces of fudge per layer.
• 4 pieces of fudge per layer.
• 12 pieces of fudge per layer.

• 2/3 x 8 =  16/3  or 5 1/3 
• 2/3 x 4 = 8/3 or 2 2/3
• 1/3 x 8 = 8/3 or 2 2/3

• 2/3 x 3/5 = 6/15 = 2/4 square yards
• 2/5 x 3/3 = 6/15 = 2/5 square yards
• 2/3 x 3/5 = 6/15 = 2/5 square yards