Two cubes each of volumes 512cm3
are joined end to end. Find the
surface area of the resulting cuboid
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The volume of each cube = 512 cm3
Let the length of the side of the cube be ‘a’ cm
Edge, a3 = 512 a = 3√512
= 8cm
When these two cubes are joined end to end, a cuboid is formed.
Length of cuboid = 8+8 = 16 cm
Breadth = 8 cm Height = 8 cm
The surface area of the resulting cuboid = 2 (lb + bh + hl)
= 2 (16×8 + 8×8 + 8×16)
= 2 (128 + 64 + 128)
= 2 (320)
= 640 cm2
∴ The surface area of the resulting cuboid is 640cm2.
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