Mathematics, 28.10.2019 23:31 erieannapickett12

Consider the three-dimensional solid that has square cross sections and whose height y at position x is given by the
equation y = 2√x for 0 ≤ x ≤ 4.
a. approximate the shape with four rectangular prisms of equal width. what is the height and volume of each
rectangular prism? what is the total volume?
b. approximate the shape with eight rectangular prisms of equal width. what is the height and volume of each
rectangular prism? what is the total volume?
c. how much did your approximation improve? the volume of the shape is 32 cubic units. how close is your
approximation from part (b)?
d. how many rectangular prisms would you need to be able to approximate the volume accurately?

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Consider the three-dimensional solid that has square cross sections and whose height y at position x...