Download Name: Date: Surface Area of Solid Figures (Cubes, Rectangular and

Name: ______________________________________
Date: _________________
Surface Area of Solid Figures
(Cubes, Rectangular and Triangular Prisms)
6G4: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures.
Apply these techniques in the context of solving real-world and mathematical problems.
Review:
Area is the amount of space ____________ 2-dimensional object.
Formula:
Formula:
Formula:
A=______
A=______
A=______
What is surface area?
 The surface area is the _______ of all the areas of all the shapes that cover the
surface of a ________________ object.
Formulas and Examples:
Figure & Formula
Cube
Face/Net
#of Faces: _____
Solve
SA = 6 (l x w)
Formula
SA = 6 (l x w) OR
SA = 2wl + 2lh + 2hw
Rectangular Prism
#of Faces: _____
SA= 2wl + 2lh + 2hw
#of Faces: _____
SA = bases + lateral faces
Formula
SA = 2wl + 2lh + 2hw
Triangular Prism
Formula
SA =
bases + lateral faces
(triangles) + (rectangles)
(triangles) + (rectangles)
Let’s Try 
Find the surface area for the following figures. Show your work.
SA= ________
SA= ________
Your turn 
Select 3 problems from each section (row) to complete. You must show your work for full credit
SECTION A: Find the Surface Area.
SA = _______
SA = _______
SA = _______
SA = _______
SECTION B: Find the Surface Area.
SA = _______
SA = _______
SA = _______
SA = _______
SECTION C: Word Problems
Find a 3D figure in the
classroom.
 Illustrate and
measure the
dimensions of the
figure.
A quart of stain covers
100 square feet. How
many quarts should you
buy to stain the
wheelchair ramp?
 Calculate the surface
area of the figure.
A public library has an
aquarium in the shape
of a rectangular prism.
The base is 6 feet by 2.5
feet. The height is 4
feet. How many square
feet of glass were used
to build the aquarium?
(The top of the aquarium
is open.)
 Illustrate the
aquarium showing the
dimensions.
You are building a
storage box out of
plywood using the
dimensions shown.
Plywood costs $1.50 per
square foot. Find the
total cost of the
plywood.
Name: ______________________________________
Date: _________________
Surface Area of Solid Figures
(Cubes, Rectangular and Triangular Prisms)
6G4: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures.
Apply these techniques in the context of solving real-world and mathematical problems.
Review:
Area is the amount of space ____________ 2-dimensional object.
Formula:
Formula:
Formula:
A=______
A=______
A=______
What is surface area?
 The surface area is the _______ of all the areas of all the shapes that cover the
surface of a ________________ object.
Formulas and Examples:
Figure & Formula
Cube
Face/Net
Solve
#of Faces: _____
SA = 6 (l x w)
___ x ___ x ___
___ x ___
_____
Formula
SA = 6 (l x w) OR
SA = 2wl + 2lh + 2hw
Rectangular Prism
#of Faces: _____
2wl
+ 2lh
__ x ___
____
Formula
Formula
SA =
bases + lateral faces
(triangles) + (rectangles)
+ __ x ___
+
____
______
SA = 2wl + 2lh + 2hw
Triangular Prism
+ 2hw
__(__x__)+ __(__x__)+ __(__x__)
+ ___ x ___
+
____
+
____
_______
#of Faces: _____
bases
(triangles)
+ lateral faces
+ (rectangles)
(bh÷2) 2 + (lw + lw + lw)
(__x__÷2)2+ (__x__+__x__+__x__)
(_____÷2)2+ (___ + ___ + ___)
____ x2 + ____
___ + ____
_______
 Area is the amount of space inside 2-dimensional object.
 The surface area is the SUM of all the areas of all the shapes that cover the
surface of a 3d object.
Challenge A room is 13 feet long, 11 feet wide, and 10 feet high. In the
room, there are three windows that are each 4 feet wide and 5 feet tall.
If one gallon of paint covers 350 square feet, how many gallons of paint
do you need to paint the walls and door of the room? Explain.
Photo Cube The length of each edge of a photo cube is 3 inches.
Does the photo cube have more or less viewing surface than a flat
photograph that is 8 inches wide and 10 inches long? Explain.
GEOMETRY The surface area of a square pyramid is
85 square meters. The base length is 5 meters. What
is the slant height?