Volume of a wedge by slicing
The wedge below has a 4x4 square base, and a height of 5.
1) What do the cross-sections look like? Do they vary in size as we move along the x-axis and y-axis?
2) If we integrate along the x-axis, what would be our limits of integration?
3) If we integrate along the x-axis, what would be a formula for the area of a cross-section an any value of x?
4) Write the integral that expresses the volume of the wedge, and evaluate.