Name: 
 

Lesson 5: Solve Problems Using Guessing and Testing



 1. 

Jimmy is designing rectangular boxes to display his toy cars. He needs to know the amount of material he will need for each box. He charts his options. Use this chart to answer the following questions.

 
Length (cm)
Width       (cm)
Height      (cm)
Volume     (cm3)
Box 1
10.3
 
4.5
287.37
Box 2
 
7.3
4.5
374.49
Box 3
12.1
 
4.5
294.03
Box 4
13.6
7.9
4.5
 

What is the width of Box 1?
a.
6.02 cm
b.
6.62 cm
c.
6.2 cm
d.
0.62 cm
 

 2. 

What is the length of Box 2?
a.
0.114 cm
b.
114.0 cm
c.
1.14 cm
d.
11.4 cm
 

 3. 

What is the width of Box 3?
a.
5.4 cm
b.
5.04 cm
c.
54 cm
d.
0.54 cm
 

 4. 

What is the volume of Box 4?
a.
4834.8 cm3
b.
483.48 cm3
c.
48304.8 cm3
d.
4.8348 cm3
 

 5. 

A crate holds 12 cube boxes. Each cube box has a side length of 22.6 cm. What is the area of the bottom of the crate?
a.
61.2912 cm2
b.
612.912 cm2
c.
61291.2 cm2
d.
6129.1 cm2
 

 6. 

A quarter is 0.158 cm thick. How thick is a roll of quarters worth $10?
a.
6.320 cm
b.
63.2 cm
c.
632 cm
d.
0.632 cm
 

 7. 

Mei has 40 m of fencing to build a rectangular pen. She wants the pen to have the largest possible area. What is the greatest possible area?
a.
200 m2
b.
40 m2
c.
100 m2
d.
160 m2
 

 8. 

What are the dimensions of Mei’s pen, from question 9, with the greatest possible area?
a.
15 m mc008-1.jpg 5 m
c.
12 m mc008-3.jpg 8 m
b.
10 m mc008-2.jpg 10 m
d.
14 m mc008-4.jpg 6 m
 



 
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