Review Packet #4

MEASUREMENT

Multiple Choice

1)    D

2)    D

3)    A

4)    D

5)    D

6)    A

7)    B

8)    D

9)    D

10)    D

11)    A

Extended Response

12)    Part A:    This is NOT a reasonable estimate!

To estimate the area of the rectangle, round the length and width of the rectangle to an approximate distance.  The length is 36 inches, so let's say that the length is about 35 inches.  The width is 18 inches, so let's say that the width is about 20 inches.  To calculate the area of the rectangle, we need to multiply the length by the width.  (A = l × w)

        A  =  l  ×  w

        A  ≈  35  ×  20

        A  ≈  700 inches²

Wally estimated the area to be about 280 square inches.  The exact area of the rectangle is 648 square inches.  Therefore, Wally's estimation is not reasonable because it is 368 square inches away from the correct area, but our 700 square inches is a more reasonable estimate!

        Part B:        Approximately 7,000 in³ of sand

To estimate the cubic inches of sand that Wally will remove, we need to estimate the volume of the "hole" he created!  To calculate the volume of the "hole" (which is actually a rectangular prism), we need to multiply the length by the width by the depth.  Use l ≈ 35 inches and w ≈ 20 inches from Part A.  The depth is 11 inches, so let's say that the depth is about 10 inches.  (V  =  l  ×  w  ×  h)

        V  =  l  ×  w  ×  h

        V  ≈  35  ×  20  ×  10

        V  ≈  7,000 inches³

Wally will remove approximately 7,000 inches³ of sand.

Short Response

13)    10 pints ~ Since 1 quart = 2 pints, the number of pints you have is double the number of quarts you have!  So, if Bernie has 5 quarts he would have double that number in pints...10 pints!

14)    0.875 liters ~ Since 1 liter = 1,000 milliliters, the number of liters you have can be found by dividing 875 by 1,000.  You can also simply move the decimal point in 875 three decimal places to the left...which in the base 10 system is the same as dividing by 1,000!

15)    9 hours on Saturday & 7 hours on Sunday ~ You can use the guess & check method, but algebra works also!  Let x equal the amount of hours she worked on Sunday.  If she worked x hours on Sunday, then she worked x + 2 hours on Saturday.  Add Sunday's hours (x) to Saturday's hours (x + 2) and set that equal to 16.

            x  +  x  +  2  =  16

            2x  + 2  =  16

            2x  =  14

            x  =  7

So if x = 7, then Nancy worked 7 hours on Sunday.  And if x = 7, then x + 2 = 9, so Nancy worked 9 hours on Saturday!

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