If three cubes of volume 512 cm3 each are joined end to end, find the surface area of the resulting cuboid.
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Correct answer: A
Explanation
The correct answer is Option 1 i.e. 896 cm2.
Volume of each cube = 512 cm3
We know that,
The volume of the cube = a3
⇒ a3 = 512
⇒ a = ∛512
⇒ a = 8 cm
When three cubes are joined end to end, the dimensions of the cuboid
Length(l) = 8 + 8 + 8 = 24 cm
Breadth(b) = 8 cm
Height(h) = 8 cm
Now,
The surface area of a cuboid(A) = 2(lb + bh + hl)
⇒ A = 2(24 × 8 + 8 × 8 + 8 × 24)
⇒ A = 2(192 + 64 + 192)
⇒ A = 2 × 448
⇒ A = 896 cm3