Vincent put logs in the shape of a rectangular prism outside his house. However, it is supposed to snow, and Vincent wants to buy a cover so the logs stay dry. If the pile of logs creates a rectangular prism with these measurements:33 cm long, 12 cm wide, and 48 cm high,what is the minimum amount of material needed to cover the pile of logs?

Answer:5112 [tex]cm^{2}[/tex] of materialStep-by-step explanation:Piece of cake!A rectangular prism has 6 sides, the same as a dice: a top, a bottom, and four sides. Two are width by lenght,Two are width by height, and the othertwo are height by widthSo we can write:2(W*L)=2(12*33)=792[tex]cm^{2}[/tex]plus2(W*H)=2(12*48)=1152[tex]cm^{2}[/tex]plus2(H*W)=2(48x33)=3168 [tex]cm^{2}[/tex]792+1152+3168= 5112 [tex]cm^{2}[/tex]The minimum amount of material needed to cover the pile of logs is 5112 [tex]cm^{2}[/tex]