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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

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

6                     7                  9                   17
+3                    +8                 -4                   -8
9                    15             5                         9
36                    57                    69                 73
+22                   +35                  - 43               - 39

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

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

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

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

6                           508                   51
32 192                      12 6096                16 816

22 690                           119 2618           218 10904

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

Sue solved the problems below. Check her answers for accuracy. Circle

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

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)

25  (3 1) 13                     62  3  5
(7  5) 2  15

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.

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

1 inch   x 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? _____

How many centimeters equal 1 meter?         _____

How many inches equal 1 foot?               _____

How many inches equal 1 yard?               _____

How many feet equal 1 yard? _____

5
How many feet equal 1 mile?               _____

How many feet and inches are in 26 inches? _____

How many inches are in 5 yards 3 feet? ______

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 -----

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?

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

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.

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

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

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?

The net below might form a ___________ prism.

Find the volume of the prism below.

4 units

3 units

2 units

Answer: 2 x 3 x 4 = 24 cubic units

8

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