Area Vocabulary
Surface Area Vocabulary
Area of polygons
Nets
Surface Area
100
What is name of the bottom of a 2-d or 3-d shape? The bottom is the _____ of the figure.
Base
100
The bottom surface of a 3-d figure is it's _____. 3-d figures are named from their _____.
Base
100
What is the area of the figure below? Line DQ = 5 in, Line QC = 4in, and Line CB = 10 in. Line AB = 9.
90in2
100
The name for the representation of the unfolded 3-d figure.
Net
100
What is surface area?
Surface area is the amount of space covering the outside of a three-dimensional shape.
Credit: Khan Academy
200
The flat surface of a 3-d figure.
Face
200
A 3-d figure with a square base that comes to a point at its top.
Square Pyramid
200
What 3-d figure does the net represent?
A triangular prism.
200
How do you calculate surface area?
What is the process for calculating surface area?
To calculate surface area find the area of each side of the 3-d figure and then find the total area of all of the sides combined.
You can use a net, decomposition, or a formula to calculate surface area.
300
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
300
A 3-d figure made up of 6 rectangular faces. It has a surface at its top.
Rectangular Prism
300
What is the area of the figure below? Line AE is 12 km long.
Area of the bottom rectangle (48) + Area of top triangle (12).
48+12 = 60km2
300
What 3-d figure does the net below represent?
Triangular pyramid also called a tetrahedron (means 4-faces)
300
How much wrapping paper is needed to wrap the gift below?
Credit: https://www.toppr.com/ask/question/find-the-surface-areain-cm2-of-the-square-pyramid-shown-below/
10 x 10 = 100
12 x 10 divided by 2 = 60
100 + 60 + 60 + 60 +60 = 340 cm2
400
The line where two surfaces or faces meet on a 3-d figure.
Edge
400
A figure with a triangular base and three rectangular faces. It comes to an edge at it's top.
Triangular Prism
400
The theater crew is painting a board for a scene in their upcoming Beauty and the Beast musical performance. First they make a model design below.
How much paper will they need for the model design below?
Bottom rectangle (280) + Top rectangle (160) + Each triangle (10)
280 + 160 + 10 + 10 = 460 cm2
400
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
400
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
500
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
500
A 3-d figure made up of four triangular faces that comes to a point at its top.
Triangular Pyramid or a Tetrahedron
500
How much paint is needed to paint the billboard below?
Middle Rectangle (55) + Each triangle (6) + top/bottom rectangle (20)
55 + 6 + 6 + 6 + 6 + 20 + 20 = 119m2
55 + (4 x 6) + 20 + 20 =
500
Which of the two nets represents a 3-d figure with a surface area of 52 units2?
Credit image 2: https://www.ixl.com/math/lessons/what-is-surface-area
Surface Area of cube's net is 54 in2. (3x3=9, 9 x 6 equal sides = 54)
Surface Area of rectangular prism's net is 52 in2.
Front/back 4 x 2 = 8, 2 equal sides so 2 x 8 = 16.
Left/Right 2 x 3 = 6, 2 equal sides so 2 x 6 = 12.
Top/Bottom 4 x 3 = 12, 2 equal sides so 2 x 12 = 24.
Surface Area Rectangular prism: 16 + 12 + 24 = 52 in2.
500
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