Area, SMB-033 The rectangular prism, shown below, is cut in half to form 2 equal cubes. What is the ratio of the surface area of the rectangular prism to one of the cubes? (3 marks) --- 7 WORK AREA LINES (style=lined) --- Show Answers Only `5 : 3` Show Worked Solution `text(S.A. of rectangular prism)` `= 2 xx (h xx h) + 4 xx (2h xx h)` `= 2h^2 + 8h^2` `= 10 h^2` `text(S.A. of cube)\ = 6 xx (h xx h) = 6h^2` `:.\ text(Ratio of rectangular prism to cube)` `= 10h^2 : 6h^2` `= 5 : 3`
