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Key Concept Quiz 9.3
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1
Dinesh has a set of 64 linking cubes. He used them to construct a square-based prism. What are the dimensions of the prism with the minimum surface area?
A)2 by 2 by 16
B)4 by 4 by 4
C)1 by 1 by 64
D)1 by 8 by 8
2
As a woodworking project, Deepa is planning to make a wooden linen storage box for her mother, in the shape of a square-based prism, with a desired volume of 0.8 m3. Find the dimensions of the box which will minimize the amount of wood required.
A)cube, s = 0.93 m
B)cube, s = 0.8 m
C)cube, s = 0.4 m
D)cube, s = 0.2 m
3
Frank is constructing a tool shed in the shape of a square-based prism with walls and a roof, but no floor, and a desired volume of 10 m3. Find the dimensions that minimize the amount of sheet aluminum required.
A)2.2 m by 2.2 m by 2.2 m
B)2.5 m by 2 m by 2 m
C)2.4 m by 2.4 m by 1.7 m
D)2.7 m by 2.7 m by 1.4 m
4
A new 5 L package of gardening soil will have the shape of a square-based prism. Find the dimensions that minimize the surface area.
A)22.0 cm by 22.0 cm by 10.3 cm
B)22.0 cm by 22.0 cm by 22.0 cm
C)17.1 cm by 17.1 cm by 17.1 cm
D)17.1 cm by 17.1 cm by 10.3 cm
5
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A 10 L box of gardening soil is made by using the same base as the 5 L box in question#4, and doubling the height. How does the surface area of 10 L box compare to the surface area of the 5 L box?
A)1.5:1
B)1.7:1
C)2:1
D)2.5:1





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