Bart used place value and the distributive property to rewrite the expression 6(412). His work is shown below. 6(412) = 6(400 + 10 + 2)

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe