Question
A sandbox in the shape of a rectangular prism is 12ft.
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)
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)
Answers
GPT 3.5
To determine the possible area of the base (b) of the sandbox, we can set up an inequality using the formula for the volume of a rectangular prism:
Volume = length x width x height
Given that the height is 12 ft and the volume needs to be at least 42 ft^3, we can write:
b x b x 12 ≥ 42
This simplifies to:
12b^2 ≥ 42
Therefore, the inequality to express the possible area of the base (b) of the sandbox is:
12b^2 ≥ 42
Volume = length x width x height
Given that the height is 12 ft and the volume needs to be at least 42 ft^3, we can write:
b x b x 12 ≥ 42
This simplifies to:
12b^2 ≥ 42
Therefore, the inequality to express the possible area of the base (b) of the sandbox is:
12b^2 ≥ 42