Two cubes of volumes 8cm3 and 27cm3 are glued together at their faces to form a solid with the smallest possible surface area. What is the n

Question

Two cubes of volumes 8cm3 and 27cm3 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

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Josie 2 weeks 2021-10-01T15:26:00+00:00 1 Answer 0

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    2021-10-01T15:27:18+00:00

    Answer:

    70

    Step-by-step explanation:

    First, we note that the cubes of volume 8 and 27 must have edges of length 2 and 3, respectively.

    • the surface area of 3x3x3 cube is 6*9=54
    • the surface area of 2x2x2 cube is 6*4=24

    If not joined, total area is 78

    The maximum concealed surface area is an entire face of the 2-cube, on both solids: 2*4 = 8

    So, the minimum exposed area would be 78-8 = 70

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45:7+7-4:2-5:5*4+35:2 =? ( )