lesson 15 volume of rectangular prism 2­22.notebook
February 23, 2016
2/22 Problem of the Day
Common Core Review:
1. Noah has mixed up the stat sheet from the football game Friday. Match the different situations, so that they all result in zero. ___ a loss of 6 yards
___ a gain of 9 yards
___ two runs for 5 yards each
___ quarterback is is sacked for 8 yards
A. two quick passes that gained 4 yards each
B. a loss of 10 yards
C. the ball is run 6 yards
D. a fumble for a loss of 9 yards
2. Write a number sentence that is shown by the number line.
Previous Lesson Review: 3. Find the surface of the shape. Feb 18­7:29 PM
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lesson 15 volume of rectangular prism 2­22.notebook
February 23, 2016
Describe situations in which it would be appropriate to know the volume of something. ­measuring cups
­water in a tank
­pouring cement
­sand buckets
Units for volume are cubic units: cubic centimeters, cubic kilometers, cubic inches, cubic feet, etc. Why?
With volume it is in a three dimensional shape so you
need a three dimensional unit.
Feb 18­8:18 PM
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lesson 15 volume of rectangular prism 2­22.notebook
February 23, 2016
2/22 Lesson 15: Volume of a Rectangular Prism
The Save­a­Tree packaging company sells ready made boxes in several sizes. ATC Toy Company is considering using Save­a­Tree's Box Z to ship alphabet blocks. Each block is a 1­inch cube. ATC needs to know how many blocks will fit into Box Z and the surface area of the box. A. The number of unit cubes that fit in a box is the volume of the box.
1. How many cubes will fit in a single layer at the bottom of this box?
2. How many identical layers
can be stacked in this box?
3. What is the total number of cubes that can be
packed in this box?
4. Consider the number of cubes in each layer,
the number of layers, the volume, and the dimensions of the box. What connections do
you see among these measurements?
B. Find the surface area of Box Z.
C. Suppose Box Z is put down on its side so its base is 4 inches by 10 inches and its height is 2 inches. Does this affect the volume of the box? Does this affect the surface area? Explain your reasoning.
Feb 18­7:42 PM
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lesson 15 volume of rectangular prism 2­22.notebook
February 23, 2016
D. Apply your strategies for finding volume and surface area to Boxes W, X, and Y.
Feb 18­7:44 PM
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lesson 15 volume of rectangular prism 2­22.notebook
February 23, 2016
PRISM PUZZLE TASK CARDS
Use linking cubes to investigate the problems. Note: All prisms in this activity refer to right prisms. Prisms have integer values for dimension unless stated otherwise.
1. Build a rectangular prism. *Base area is 18 units.
*Volume is 54 cubic units.
2. Build a rectangular prism having a height of 4 units.
*Volume is 36 cubic units.
3. Build a 6 x 3 x 2 prism.
*If you subtract 1/4 of the volume, what could the new dimensions be?
4. Build a rectangular prism.
*The height is twice the length.
*Volume is 18 cubic units.
5. Build a rectangular prism.
*The difference between the volume and surface
area is 28.
*Two of the dimensions are prime numbers.
Feb 18­8:05 PM
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lesson 15 volume of rectangular prism 2­22.notebook
February 23, 2016
Bring glue and scissors tomorrow.
Test on Friday.
Feb 22­10:13 AM
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