Page 1 CCM6+ Unit 12 SA and V 1 UNIT 12 Volume and Surface Area CCM6+ Name: ________________ Math Teacher:___________ Projected Test Date:_____ Main Concept(s) Page(s) Vocabulary 2 Basics of 3-D Figures 3-7 Surface Area of Prisms and Square Pyramids 8-11 Surface Area of Cylinders 12-13 Surface Area of Compound 3-D Shapes 14-17 Volume of Prisms and Cylinders 18-19 Problem Solving with Volume an Surface Area 20-23 Volume of Rectangular Prisms with Fractional Edges 24-26 Unit Review/Study Guide due ______________ 27-31
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Page 1 CCM6+ Unit 12 SA and V
1
UNIT 12
Volume and Surface Area
CCM6+
Name: ________________
Math Teacher:___________
Projected Test Date:_____ Main Concept(s) Page(s)
Vocabulary 2
Basics of 3-D Figures 3-7
Surface Area of Prisms and Square Pyramids 8-11
Surface Area of Cylinders 12-13
Surface Area of Compound 3-D Shapes 14-17
Volume of Prisms and Cylinders 18-19
Problem Solving with Volume an Surface Area 20-23
Volume of Rectangular Prisms with Fractional Edges 24-26
Unit Review/Study Guide due ______________ 27-31
Page 2 CCM6+ Unit 12 SA and V
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CCM6+ Unit 12 Vocabulary
area the amount of square units covered by a plane figure measured in square units
net an arrangement of two-dimensional figures that can be folded to form a polyhedron (3-D figure)
surface area the sum of the area of the faces of a 3D figure
face a flat surface of a polyhedron (a 3D figure)
edge the line segment along which two faces of a polyhedron intersect
vertices a point where three or more edges intersect
pyramid a polyhedron that has a polygon base and triangular lateral faces
right prism a polyhedron that has two parallel congruent polygon bases. All lateral faces are rectangles.
circle a series of concentric points that are equidistance from a center point
circumference the distance around a circle (like perimeter) it is approximately 3 times the length of the circle's diameter. C=pd
diameter a line segment that begins on a point on the circle's circumference, runs through the center point and ends on another point on the circle's circumference (Twice the radius)
radius a line segment that begins at the circle's center point and ends on a point on the circle's circumference (half the diameter)
volume the number of cubic units needed to fill a given space
Page 3 CCM6+ Unit 12 SA and V
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Day 1: 3-D Figures Big Ideas
Warmup:
1. What is the surface area of the cube shown?
Hint: Find the area of each surface.
2. What is the volume of the cube shown?
3. Draw and label all 3-D shapes you can in the space below.
Area of square = ______ Area of triangle = ______ Area of triangle = ______ Area of triangle = ______ Area of triangle = ______ Total Surface Area = _______ cm2
Ryan and his father make birdhouses to sell for extra money. All outer surfaces of the birdhouses are painted
bright blue. A half gallon of paint will cover 25 square feet. How many birdhouses could be painted using a
half-gallon of paint?
Questions to consider: Work Space:
1. Paint covers the area in square feet. The birdhouse dimensions are given in inches. How will I represent my dimensions as fractional portions of a foot?
2 inches is ________ft 4 inches is ________ft 6 inches is ________ft 8 inches is ________ ft 10 inches is ________ft 12 inches is ________ft
2. How can I break down the birdhouse into 2-D figures that I know how to calculate the areas of?
3. How do I handle the opening for the birds? That portion will not get painted, so how do I account for that?
8 in
4 in
12 in
10 in
6 in
2 in
Page 17 CCM6+ Unit 12 SA and V
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4. I need to draw each section that will be painted and label them with the correct dimensions. Find the AREA of each piece.
For this piece, you need the area of the rectangle that DOES NOT include the circle! 5. TOTAL SURFACE AREA = _____________________ft2 6. Now, how many birdhouses can be painted with a half gallon of paint? *HINT: What will you do with a remainder?
Roof sections: Lower portions:
Page 18 CCM6+ Unit 12 SA and V
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Day 5: How can I calculate the VOLUME of prisms and cylinders?
Surface Area is on the ____________________ of a 3-D shape.
Volume is on the _____________________ of a 3-D shape.
Volume is MUCH EASIER than Surface Area because to calculate it you simply
find: Volume = Area of Base Shape • height of 3-D shape