10-4 Space Figures Base (B)-The two parallel sides of a prism Faces - The sides (polygons) of a prism Prism- A 3-dimensional shape with two parallel bases and sides that are all polygons 1.) What is the shape of the bases in this prism?
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10-4 Space FiguresBase (B)-The two parallel sides of a prism
Faces - The sides (polygons) of a prism
Prism- A 3-dimensional shape with two parallel bases and sides that are all polygons
1.) What is the shape of the bases in this prism?
Cylinder- A three dimensional shape with two circular, parallel bases (similar to a prism)
Pyramid - A 3-dimensional shape with one polygon as a base and triangular sides that meet at a vertex
Cone - A three dimensional shape with one circle as a base and one vertex (similar to a pyramid)
Sphere- All points the same distance from a given point. Also know as a ball.
Net- A pattern you can fold into a space figure
Name the solid shape that can be made from each net.
Surface area- The total area of the surface (faces and bases) of a three-dimensional figure
Lateral Area- the area of the faces of a three dimensional shape (Surface area not including the bases)
For a rectangular prism, the surface area is the sum of the areas of all 6 faces
Surface area of a Rectangular Prism
Opening Activity: Mr. Patek bought Mrs. Patek a new pair of Nike sneakers from Foot Locker. If he wants to wrap the box, what is the minimum amount of wrapping paper (in2) needed to wrap it? (Calculator permitted)
16 in
9 in
8 in
Method 1: Adding the area of each side
16 in
9 in
8 in
Method 2: Using the formula
SA = 2B + Ph
Find the surface area of the rectangular prisms. Calculator permitted, but show all steps.
7 ft4 ft
3 ft
Surface Area is the sum of the areas of all the faces of a 3-D figure. For a triangular prism, it's the sum of the areas of the two triangular bases (A = bh 2), and the three rectangular sides.
Opening Activity: Mr. Patek purchased a tent for camping this summer and it got him thinking. How much material (ft2) was used in making the tent?
5 ft (height of triangle)
8 ft6 ft
Method 1: Adding the area of each side
5 ft (height of triangle)
8 ft6 ft
Method 2: Using the formula
SA = 2B + Ph
1.) Word Problem: Kraft Foods, one of the largest food companies in the world, makes the Toblerone chocolate bar. Find the minimum amount of packaging needed to wrap the giant Toblerone bar displayed below.
40 in
7 in
6 in (height)
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