4. Two cubes each of volume 64 cm joined end to end together. Find surface area of the resulting cuboid ​

Question

4. Two cubes each of volume 64 cm
joined end to end together. Find
surface area of the resulting cuboid

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Katherine 1 week 2021-10-04T13:16:22+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-04T13:17:24+00:00

    Volume of each cube = 64 cm3

    side3 =64

    side3 = 4

    0
    2021-10-04T13:17:48+00:00

    Volume of each cube = 64 cm³

    side³ = 64

    side³ = 4³

    Hence, side = 4 cm

    Now if two cubes are joined together it will form a cuboid.

    Length of the resisting cuboid,

    l = 2 × side cm

    l = 2 × 4

    l = 8 cm

    Breadth, b = 4cm

    Height, h = 4cm

    Hence surface Area

    SA = 2 ( lb + bh + hl )

    SA = 2 ( 8×4 + 4×4 + 4×8 )

    SA = 2 ( 32 + 16 + 32 )

    SA = 2 ( 64 + 16 )

    SA = 2 × 80

    SA = 160 cm²

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