Let the length and width of the base be l and w, respectively. The volume of a rectangular prism is given by V = lwh. We are given that V = 42 ft^3, h = 12 ft, and we want to find an inequality for the possible values of the base area b = lw.
Substitute the given values into the volume formula to get:
42 = lwh
42 = lwb
42 = lb(12)
42/12 = lb
3.5 = lb
5 = lw
Therefore, the inequality expressing the possible area of the base would be:
5 ≤ b
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)
1 answer