Since the sandbox is in the shape of a rectangular prism, the volume of the sandbox is given by the formula: Volume = Height x Base Area (b).
Given that the height of the sandbox is 1/2 ft. and the volume must be at least 42 ft3, the inequality can be written as:
(1/2) b ≥ 42
This can be simplified as:
b ≥ 84
Therefore, the inequality expressing the possible area of the base, b, of the sandbox is b ≥ 84.
Question
A sandbox in the shape of a rectangular prism is 1/2ft. high and needs to contain at least 42 ft.3 of sand. How would you write an inequality to express the possible area of the base, b , of the sandbox?(1 point)
b
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