Question

a solid cube is cut into 2 cuboids of equal volumes.find the ratio of T.S.A. of the given cube and that on one of the cuboids

Answer 1

Let the length of the edge of the cube be 'a' Total surface area of the cube = 6a2 sq units Measures of one of the the cuboid formed by cutting the given cube into two equal halves = 'a', 'a' and 'a/2' units TSa of cuboid = 2(lb + bh + lh) = 2(a×a + a×a/2 + a×a/2) sq units = 2(a2 + a2/2 + a2/2) = 4a2. Ratio of the total surface areas = 6 a2 : 4 a2 = 3 : 2....