JIPMAT 2023 (QA) - <p>Two identical solid cubes of side 5 cm are joined end to end. Then the total surface area of the resulting cuboid is:</p> | PYQs + Solutions | AfterBoards
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JIPMAT 2023

Geometry
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Solids

Conceptual

Two identical solid cubes of side 5 cm are joined end to end. Then the total surface area of the resulting cuboid is:

Correct Option: 2
1) For a cuboid:\newline - Total Surface Area = 2(lw+lh+wh)2(lw + lh + wh)
where ll is length, ww is width, and hh is height
2) When two 55 cm cubes are joined end to end:\newline - Length (ll) = 1010 cm\newline - Width (ww) = 55 cm\newline - Height (hh) = 55 cm
3) Substituting in the formula:\newline = 2(10×5+10×5+5×5)2(10 × 5 + 10 × 5 + 5 × 5)\newline = 2(50+50+25)2(50 + 50 + 25)\newline = 2(125)2(125)\newline = 250250 cm²
Therefore, the total surface area of the cuboid is 250250 cm².

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