8 cubes each of edge 5 cm are joined end to end What is the total surface area of the resulting cubo...........

Quantitative Aptitude (CPO) Mensuration 3D

8 cubes, each of edge 5 cm, are joined end to end. What is the total surface area of the resulting cuboid?

This questions was previously asked in

SSC CPO 13th-March-2019-Shift-1

850 cm²

825 cm²

1200 cm²

800 cm²

Let’s analyze the problem and the options step by step:

- Each cube has an edge of 5 cm.

- 8 cubes are joined end to end, making a cuboid of dimensions:

- Length = 8 × 5 = 40 cm

- Breadth = 5 cm

- Height = 5 cm

- Surface area of a cuboid = 2(lb + bh + lh)

- Substitute:

2 × [(40×5) + (5×5) + (40×5)]

= 2 × [200 + 25 + 200]

= 2 × 425

= 850 cm²

So, Option 1: 850 cm² is correct!

- Option 2: 825 cm² — Incorrect, comes from a calculation mistake.

- Option 3: 1200 cm² — Way too high, doesn’t fit the dimensions.

- Option 4: 800 cm² — Too low, misses out calculation.

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