Mathematics
Two cubes, each of volume 512 cm3 are joined end to end. Find the surface area of the resulting cuboid.
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Answer
Let length of each side of cube be a cm.
Given,
Volume of each cube = 512 cm3.
Calculating the side of cube,
Volume of cube = a3
512 = a3
a =
a = 8 cm.
Two cubes are joined end to end to form a cuboid.
∴ Length (l) = a + a = 8 + 8 = 16 cm
Breadth (b) = a = 8 cm
Height (h) = a = 8 cm
Total surface of cuboid = 2(lb + bh + hl)
= 2(16 × 8 + 8 × 8 + 8 × 16)
= 2(128 + 64 + 128)
= 2(320)
= 640 cm2.
Hence, total surface area of cuboid = 640 cm2.
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