Two cubes each having a total surface area of 150 cm2 are joined together to form a cuboid Find the ...........

Quantitative Aptitude (MTS) Mensuration 2D

Two cubes, each having a total surface area of 150 cm², are joined together to form a cuboid. Find the total surface

area of the resulting cuboid.

This questions was previously asked in

SSC MTS 18th July 2022 Shift-2

300 cm²

225 cm²

250 cm²

275 cm²

- Each cube has a total surface area of 150 cm².

- The formula for the surface area of a cube is \(6a^2\), where \(a\) is the length of a side.

- So, \(6a^2 = 150\) cm² implies \(a^2 = 25\) cm², giving \(a = 5\) cm.

- Each side of a cube is 5 cm.

- Two cubes joined together form a cuboid with dimensions 5 cm x 5 cm x 10 cm.

- The formula for the cuboid's surface area is \(2(lw + lh + wh)\).

- Here, \(l = 5\), \(w = 5\), \(h = 10\).

- Calculate: \(2(5*5 + 5*10 + 5*10) = 2(25 + 50 + 50) = 2(125) = 250\) cm².

- The resulting total surface area is 250 cm².

Correct Answer: Option 3, 250 cm²

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