What is name of the bottom of a 2-d or 3-d shape? The bottom is the _____ of the figure.
Base
The bottom surface of a 3-d figure is it's _____. 3-d figures are named from their _____.
Base
How much paint is needed to paint a billboard that is 48 feet long and 14 feet high?
672ft2
Find the surface area
468 m2
What am I?
Clue 1: This net consists of 3 rectangles and 2 triangles.
Clue 2: The triangles serve as the bases, and the rectangles form the lateral faces.
Triangular Prism
The flat surface of a 3-d figure.
Face
A 3-d figure with a square base that comes to a point at its top.
Square Pyramid
What am I?
Clue 1: This net consists of 4 triangles and 1 square. Clue 2: The square serves as the base, and the triangles meet at a single point.
Square Pyramid
What am I?
Clue 1: This net is made up of 1 hexagon and 6 triangles.
Clue 2: When assembled, the hexagon forms the base and the triangles form the bases.
Hexagonal Pyramid
What makes a 900 angle with the base of a 2-d figure? The _____ is the distance from the top of a figure to it's base.
Height
A 3-d figure made up of 6 rectangular faces. It has a surface at its top.
Rectangular Prism
What is the formula for area of a triangle?
bxh/2
Find the surface area
216 ft2
How much wrapping paper is needed to wrap the gift below?
10 x 10 = 100
12 x 10 divided by 2 = 60
100 + 60 + 60 + 60 +60 = 340 cm2
The line where two surfaces or faces meet on a 3-d figure.
Edge
A figure with a triangular base and three rectangular faces. It comes to an edge at it's top.
Triangular Prism
How do you find the height of a triangle that does not have a 90 degree angle?
Draw a perpendicular line from the base to its highest point.
Use the net to find the surface area of the solid below.
Square base (36) + Each triangle (27) (include all four)
36 + 27 + 27 + 27 + 27 = 144 ft2
36 + (4 x 27) = 144 ft2
Darianis is building a model skate park she starts by making a plastic ramp below.
How much plastic is needed to build the model ramp below?
Front rectangle (90) + Right Rectangle (72) + Left Rectangle (54) + Top Triangle (24) + Bottom Triangle (24)
90 + 72 + 54+ 24 + 24 = 264 cm2
The place where two lines meet on a 2-d figure. The place where two or more edges meet on a 3-d figure.
Vertex
A 3-d figure made up of four triangular faces that comes to a point at its top.
Triangular Pyramid or a Tetrahedron
How do you find the area of an irregular shape?
Split it into triangles, squares, and rectangles. Find the area of each piece and add them together!
Maddie bought a gift for her friend. She wants to place the gift in a package with the length of 9 inches, width of 12 inches, and height of 4 inches. Then she wants to wrap the gift. What is the surface area of the package?
All the sides =
12 x 4
12 x 9
9 x 4
Then multiply each by two because they each have a matching side.
384 m2
How much paint is needed to paint the statue below?
Credit: https://www.slideshare.net/Kim199/surface-area-of-triangular-prism-1
Front Triangle (49.5) + Back Triangle (49.5) + Left Rectangle (192) + Right Rectangle (192) + Bottom Rectangle (144)
49.5 + 49.5 + 192 + 192 + 144 = 627 m2