(06.01 mc) !
a square prism and a cylinder have the same height. the area of the cross-section of the square prism is 314 units, and the area of the cross-section of the cylinder is 50π square units. based on this information, which argument can be made?
a: the volume of the square prism is 1/3 the volume of the cylinder.
b: the volume of the square prism is half the volume of the cylinder.
c: the volume of the square prism is equal to the volume of the cylinder.
d: the volume of the square prism is twice the volume of the cylinder.

b: the volume of the square prism is half the volume of the cylinder.

step-by-step explanation:

a square prism and a cylinder have the same height. the area of the cross-section of the square prism is 314 units, and the area of the cross-section of the cylinder is 50π square units. based on this information, the volume of the square prism is half the volume of the cylinder.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2