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A manufacturer produces square-based rectangular shipping boxes. The volume of the boxes produced is limited to 16 cubic feet. If 's' represents the length of one side of the base, and 'L' represents the length, which of the following symbolizes the size restriction?"

a. s × L = 16
b. s + L = 16
c. s² × L = 16
d. s² + L² = 16

1 Answer

6 votes

Final answer:

The size restriction for a square-based rectangular box with a volume limitation of 16 cubic feet is symbolized by the equation V = s² × L = 16. This denotes the relationship between the side of the square base 's', the length 'L', and the volume 'V'.

Step-by-step explanation:

The question relates to the symbolization of the size restriction for a square-based rectangular shipping box with a given volume limitation. The formula for the volume of a rectangular box is given by multiplying the length of the side of the square base by itself (which gives the area of the base), and then by the length of the box.

Therefore, the volume V of the box can be expressed as V = s² × L, where s is the length of the side of the square base and L is the length of the box. Since the volume is limited to 16 cubic feet, the equation representing this limitation is: V = s² × L = 16. This does not take the form of a simple sum like s + L = 16 or a sum of squares like s² + L² = 16. Both of these are incorrect as they do not reflect the multiplication of the base area and length to determine volume in cubic feet.

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