Part A: A cross section of the by prism is cut with a plane parallel to the base. What is the name of the shape created by the cross section? Explain your answer. (5 points)
Part B: If a cross section of the prism is cut diagonal to the base, what would be the shape of
the resulting cross section? Explain your answer. (5 points)

Part A: Rectangle

Part B: Triangle

Step-by-step explanation

Part A:

When you cut a shape paralell you cut side by side creating the same measurements. For this shape you would cut directly down the middle creating two halves. The new shape will take the shape of the base as what happens with a parallel cut.

Part B:

When you cut a shape diagonal you are joining two opposite corners together to create a new shape. For this shape, you cut from either corner and go to the opposite corner on the other side. This will create a paralellogram.

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!