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Key Concept Quiz 9.4
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1
Robert is designing a new shipping box for salted and dried codfish. He will use 4 m2 of plywood for each box. Find the maximum volume of the box that Robert can construct.
A)8.0 m3
B)0.60 m3
C)0.54 m3
D)0.30 m3
2
What are the dimensions of the box in question#1?
A)0.66 m by 0.66 m by 0.66 m
B)0.82 m by 0.82 m by 0.82 m
C)1.15 m by 1.15 m by 0.53 m
D)0.82 m by 0.82 m by 0.66 m
3
Mr. Hickory has given each student in his woodworking class 120 cm2. The challenge is to make a box with a square base and open top such that the volume is maximized. Find the dimensions that maximize the volume of the box.
A)b = 6.3 cm, h = 3.2 cm
B)b = 4.5 cm, h = 4.5 cm
C)b = 3.2 cm, h = 6.3 cm
D)b = 6.3 cm, h = 6.3 cm
4
Find the volume of the box in question#3.
A)40 cm3
B)58.5 cm3
C)91.1 cm3
D)126.5 cm3
5
Sugar cube B has a side length of 1 cm. Sugar cube A has twice the surface area of sugar cube B. What is the volume of sugar cube A divided by the volume of sugar cube B?
A)2.83
B)2.00
C)1.41
D)1.20





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