Question : 2 cubes each of volumes 125 cm3 are joined end to end. The surface area of the resulting cuboid is:
Option 1: 325 cm2
Option 2: 350 cm2
Option 3: 125 cm2
Option 4: 250 cm2
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Correct Answer: 250 cm2
Solution : Let the side of the cube be a. Volume of each cube = 125 cm3 ⇒ a3 = 125 $\therefore$ a = 5 cm So, the edge of each cube = 5 cm For new cuboid formed length(l) = 5 + 5 = 10 cm breadth(b) = 5 cm height(h) = 5 cm $\therefore$ Surface area of the resulting cuboid = 2 (lb + bh + lh) = 2 (10 × 5 + 5 × 5 + 10 × 5) cm2 = 250 cm2 Hence, the correct answer is 250 cm2.
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