Question 2 Three cubes each of volume 64cm3 are joined end to end to form a cuboid. Find the total surface area of the cuboid so formed?
Finding Side of Cube from volume
Given that
Volume of 1 cube = 64 cm3
(Side)3 = 64 cm3
a3 = 64 cm3
a3 = 43
a = 4
Surface area of cuboid
Length of cuboid = a + a +a = 4 cm + 4 cm + 4 cm = 12 cm
Breadth = a = 4 cm
Height = a = 4 cm
Hence, l = 4 cm, b = 4 cm , h = 4 cm
Area of cuboid = 2(lb + bh + hl)
= 2(12 × 4 + 4 × 4 + 4 × 12)
= 2(48 + 16 + 48)
= 2(112)
= 224
Hence, Area of cuboid = 224 cm2

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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