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Statistics
Question
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2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid.

Answer

Let ‘a’ be the length of a side of a cube. Then
Volume of one cube = 64 cm3
⇒    n3 = 65 cm3
⇒    n = 4 cm
On joining the cubes, a cuboid is formed.
Then The length of the resulting cuboid (l) = 2
The breadth of the resulting cuboid (b) = a cm
The thickness of the resulting cuboid (h) = a cm
Now,
Surface area of the resulting cuboid
= 2(lb + bh + hl)
= 2 (2a. a + a. a + a. 2a)
= 2 (2a2 + a2 + 2a2)
= 2 (5a2) = 10a2 = 10 (4)2
= 160 cm2.

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Some More Questions From Statistics Chapter

A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.