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					                              Craven County Seventh Grade
                                Prerequisite Skill Probes

2.02 Solve problems involving volume and surface area of cylinders,
prism, and composite shapes.

                                  Vocabulary
        polyhedron triangular prism     rectangular prism     cube
        pentagonal prism   hexagonal prism     length         width
        height       base        face          lateral face   lateral area
        radius       diameter    circumference                density


Single-digit addition and subtraction

 6                     7                   9                  17
+3                    +8                  -4                  -8


Answers:
 6                     7                  9                   17
+3                    +8                 -4                   -8
 9                    15             5                         9
Double-digit addition and subtraction
 36                    57                    69                 73
+22                   +35                  - 43               - 39

Answers:
  36                     57                  69                 73
+ 22                  + 35                 - 43               - 39
  58                    92                   26                 34


Triple-digit (and larger) addition and subtraction

  425                   649                  475                653
+ 372                 + 270                - 213              - 474

Answers:
  425                   649                  475                653
+ 372                 + 270                - 213              - 474
  797                   919                  262                179




                                                                             1
Single-digit multiplication and division

     6                      8                4                   9 3        18  2
    3                     7               5

Answers:
     6                      8               4                    9 3    18  2
   3                      7              5
    18                     56              20                    3            9




Double-digit multiplication and division
  31                64                      3 519                    7 380
 25               57


Answers

   31                64                     3 519              7 380
 25               57

  775              3648                          173           54 R2


Triple-digit (and larger) multiplication and division
       457                                    984
     x 25                                  x 345




      457                                               984
     x 25                                        x      345

    11,425                                           339,480




                                                                                      2
32 192                      12 6096                   16 816

Answers:
     6                           508                   51
32 192                      12 6096                16 816



22 690                           119 2618           218 10904

Answers:

    31 R8 or   31.36                    22                 50 R4 or ~50.02
22 690                           119 2618            218 10904




Checking answers for accuracy

Sue solved the problems below. Check her answers for accuracy. Circle
items she has answered correctly.

                                                   609
   12,473           7,325          915          7 4263
  - 3,492          + 6958          x 23
    9,081          14,283         20,045

Answers:
                                                   609
   12,473           7,325           915         7 4263
  - 3,492          + 6958          x 23
     8981          14,283         21,045
 Not circled          Circled    Not circled    Circled




                                                                         3
Order of Operations

Solve:

            8 18  6                10  2  3                  33  4(15  3)

Answers:           5                         2                               13

             25  (3 1) 13                     62  3  5
                                                                        (7  5) 2  15
Answers:               28                            21                       19


Cross-Multiplication


Cross multiply to determine if these two fractions are equivalent.

2 14                            3 9                        2 3
 =                                                         
3 16                            5 15                       8 12

                                         3 15  9  5      2 12  3  8
Answer: 2 16  14  3       32  42 ;                 ;
                                         45  45            24  24


Measurement: Scale

Measure this line to the nearest centimeter.



Answer: 8 centimeters

                1
Draw a line 6     inches .
                8




Draw a line 42 mm.




Draw a line 2.6 cm.


                                                                                         4
On a map, one inch equals 20 miles. How many miles would it be if the line is 4
inches?
1 inch = 4 inches
20 miles    x       Answer: 80 miles


On a map, one inch equals 33 miles. If it is 99 miles to Clayton, how long is the line
on your map?

 1 inch   x inches
                  Answer: 3 inches
33 miles 99 miles


Measurement: Direction




Label the compass
(N, S. E, W)
Measurement: Conversion (Use a calculator if needed.)

How many millimeters equal 1 centimeter? _____

Answer:10
How many centimeters equal 1 meter?         _____

Answer:100

How many inches equal 1 foot?               _____

Answer:12

How many inches equal 1 yard?               _____

Answer:36

How many feet equal 1 yard? _____

Answer:3


                                                                                         5
How many feet equal 1 mile?               _____

Answers: 5280

How many feet and inches are in 26 inches? _____

Answer: 2 feet 2inches

How many inches are in 5 yards 3 feet? ______
Answer: 216 inches


Measurement: Geometry

Which of the following figures are examples of a polyhedron?




Answers: All are Polyhedron except ----


These two figures have bases, but their sides are not made up of polygons.

How many faces do the following shapes have?

rectangular prism _____

triangular prism _____

cube -----

Answers: 6; 4; 6

What are the shapes of the bases for---

rectangular prism _____

rectangle



                                                                             6
triangular prism _____

triangle

cube _____

square




If the radius of a circle is 6, what is the diameter?

Answer: 12

Given the diameter of a circle is 8, what is the circumference? (C= π D)

Answer: 25.12 or 25.13


Find the area of the following. Use a calculator as needed.

                                                                    4              3
                                     4
                                                         5
    3                                                                              5
                        6
                                                                           2



Answers: 9 units squared, 24 units squared, 78.5 units squared, 5 units squared

Find the area of a room that is 12 feet by 6 feet.

Answer: 72 square feet

Find the square footage of a bathroom that is 6 feet by 4 feet.

Answer: 24 ft 2


What is the name for the measure of the total area of the surfaces of an object?

Answer: Surface Area




                                                                                       7
What is the surface area of the following rectangular prism?

                         4 units

                                             3 units


                                        2 units

Answer: 2[(2x3) + (3 x4) + (2 x 4)] 2(26) = 52 square units

What is the name for the measure of the interior of a space expressed in cubic units?

Answer: Volume


The net below might form a ___________ prism.




Answer: rectangular

Find the volume of the prism below.

               4 units

                                   3 units


                            2 units

Answer: 2 x 3 x 4 = 24 cubic units




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