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Question

A cuboid is formed by joining two cubes of volume 216 cm3. Total surface area of the cuboid will be .

A
180 cm2
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B
90 cm2
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C
200 cm2
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D
360 cm2
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Solution

The correct option is D 360 cm2
Given: Volume of each cube
= 216 cm3
A cuboid is formed by joining two such cubes.



Let a be the length of each side of the cube.
Volume of cube = a3
216 cm3 = a3
a=6 cm

Now, length of the cuboid, l
= 2a = 2 × 6 = 12 cm
Breadth of the cuboid, b = a = 6 cm
Height of the cuboid, h = a = 6 cm

Total surface area of the cuboid
= 2(lb + bh + hl)
= 2(12×6+6×6+6×12)
= 2(72+36+72)
= 360 cm2

Total surface area of the cuboid is 360 cm2.

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