The sculpture consists of five identical prisms. JD says the surface area of the sculpture is 44 times the surface area of one prism. Which statement about JD's method is true?
we know that (see the attached figure n 2 to understand the problem) [the surface area of one prism]=2*[x*x]+2*[x*y]+2*[x*y]----> 2x²+4xy [the surface area of the sculpture]=2*[5*x*y]+2*[3*x*x]+2*[3*x*y]--> 6x²+16xy
now JD says the surface area of the sculpture is 4 times the surface area of one prism [the surface area of the sculpture]=4*(2x²+4xy)---> 8x²+16xy
we compare the value that JD says with the real value (8x²+16xy) > (6x²+16xy) the value that JD says is greater in comparison with the real value This is because JD should also subtract the areas of eight hidden surfaces.
the answer is JD should also subtract the areas of eight hidden surfaces
