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# Two cubes

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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?

Feb 10, 2022

#1
+36417
+2

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       +   4x4 x 6  - 3x3 = 45 +87=132 cm2

Feb 10, 2022

#1
+36417
+2

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       +   4x4 x 6  - 3x3 = 45 +87=132 cm2

ElectricPavlov Feb 10, 2022