M6: Formula’s Study Guide
What do I need to know for the upcoming assessment?
Formulas for solving practical problems.
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Area and perimeter of a rectangle
o
o
Area and perimeter of a square
o
o
Area and perimeter of a triangle
o
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
or
o
Surface Area
o SA= 2lw+ 2lh+ 2wh
Volume
o V= lwh
What can I do to prepare for the assessment?
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
Complete the practice problems attached
IXL :
o 6th grade: Z.36: Volume of cubes and rectangular prisms
Z.37: Surface area of cubes and rectangular prisms
th
o 5 grade: B.22: Area, Perimeter Word Problems
B.26: Surface Area
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Review class notes, classwork, and homework
Ask for help before the assessment
Area and Perimeter Practice
1)
What is the perimeter of the triangle?
3)
What is the perimeter of the triangle?
2)
What is the area of the triangle?
4)
What is the area of the triangle?
16 in
23 ft
16 in
13
ft
19 ft
32 in
5)
Jill wants to paint one wall in her bedroom that measures 9 by 11 feet. The wall has a
window, which measures 3 feet by 4 feet. If Jill does not paint the window, what is the
total area she will paint?
4 ft
9 ft
3 ft
11 ft
Use the figure below for questions 6 and 7.
15 ft
6)
7)
8)
9)
Mr. Jones needs new carpet for his square shaped classroom. Which shows the measure
that he needs to find?
A.
perimeter: 30 feet
B.
Perimeter: 60 feet
C.
Area: 112.5 feet 2
D.
Area: 225 ft2
Mr. Jones wants to put a number line border around the walls of the room. Which shows
the measure that he needs to find?
A.
perimeter: 30 feet
B.
perimeter: 60 feet
C.
Area: 112.5 feet 2
D.
Area: 225 ft
Jamie wants to make a square vegetable garden. One of the sides measures 9 feet.
a)
How much fencing does she need?
b)
What is the area of Jamie’s garden?
Jim wants to build a rectangular tree fort with a floor area of 24 ft2.
Circle each of the dimensions that would work for Jim’s tree fort, if he wants the area of
the floor to be exactly 24 ft2.
4 ft x 5 ft
3 ft by 9 ft
8 ft by 3 ft
2 ft by 10 ft
6 ft by 4 ft
10) Jose and his friend put their desks together so that they could work on a project. What
will be the total area of the top of the two desks when they are pushed together?
3ft
3ft
4 ½ ft
11)
4 ½ ft
Perimeter is used to find the
A. distance from a ceiling to the floor
B. amount of blacktop on a playground
C. amount of floor space covered by a carpet
D. distance around the edge of a swimming pool
12)
Area is used to find the
A. amount of fence needed for a playground
B. amount of wallpaper border needed in a kitchen
C. amount of border for a teacher’s bulletin board
D. amount of flooring needed for a basement
13) A square-shaped parking lot has an area of 225 square miles. What is the perimeter of the
parking lot?
14) John plans on covering his swimming pool for the winter. The rectangular shaped swimming
pool measures 25 feet by 15 feet. What is the least amount of covering he will need?
A.
B.
C.
D.
350 square feet
80 square feet
375 square feet
40 square feet
15) Michelle wants to put a rug in her living room that has a rectangular area of 75 square feet.
From the choices below, what are the dimensions of the largest rug that she can fit in her living
room?
A.
B.
C.
D.
13 ft by 6 ft
7 ft by 6 ft
10 ft by 9 ft
5 ft by 14 ft
16) Gary has a rectangular sandbox that measures 6 feet by 7 feet. He wants to put wooden
blocks around the sandbox to enclosed to keep the sand from coming out. What is the least
amount of wooden blocks that he needs to buy in order to enclose the sandbox?
A.
B.
C.
D.
26 feet
13 feet
42 feet
28 feet
17) Paul is taking a 2-day biking trip through the woods. He will be starting at point A, traveling
to point B and point C, and then back to point A.
How many miles did Paul travel?
B
A
23 mi
C
18) Ron and Scott are on the stage crew for the school play. The rectangular stage measures 22
feet by 45 feet. What is the minimum amount of tape they will need to outline the stage?
19) Valerie and Laura designed a triangular shaped boat to go in the lake. The boat is 7 feet
across, with a height of
feet. What is railing needs to be put around the top. What is the
minimum amount of railing material needed?
20) Marsha wants to make a grilled cheese sandwich, but the slice of cheese is longer than the
slice of bread. How much bread will she need for each triangular shaped sandwich?
2.5 in
1 in
21-24) Solve each problem below. Round to the nearest hundredth , if necessary.
21)
22)
7.3 cm
3.3 cm
cmcm
5.2 cm
1.3 cm
21.3 cm
10.2 cm
Surface Area: _______________________________
Surface Area: _______________________________
Volume: _____________________________________
Volume: _____________________________________
23) A birthday gift is placed inside the box
shown. What is the surface area needed to wrap
this gift?
24) How much cereal will fit inside the box, with
the length of 7.2 in, with width of 2.5 in and a
height of 9.1 in.
2.1 in
3.8 in
10 in
Answer Key
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
17)
18)
19)
20)
21)
22)
23)
24)
55 ft
123.5 ft2
64 ft
388 in2
87 ft2
D
B
a) 36 ft; b) 81 ft2
8 ft by 3 ft and 6 ft by 4 ft
27 ft2
D
C
60 ft
C
D
A
44 miles
134 ft
SKIP THIS QUESTION – enough information to solve.
1.25 in2
SA = 330.92 cm2; V = 387.19 cm2
SA = 204.54 cm2; V = 91.38 cm3
SA = 133.96 in2
V = 163.8 in3