Two cubes of volumes \(27 \ \text{cm}^3\) and \(64 \ \text{cm}^3\) are glued together at their faces to form a solid with the smallest possible surface area. What is the number of square centimeters in the surface area of the resulting solid?
+37157 cube 1 3 x 3 x 3
cube 2 4 x 4 x 4
One 3x3 face will be gone (covered) as will a 3x3 area on one of the faces of the larger cube
3x3 x 5 + 4x4 x 6 - 3x3 = 45 +87=132 cm2
+37157 cube 1 3 x 3 x 3
cube 2 4 x 4 x 4
One 3x3 face will be gone (covered) as will a 3x3 area on one of the faces of the larger cube
3x3 x 5 + 4x4 x 6 - 3x3 = 45 +87=132 cm2
