If two cubes of dimensions 2 cm by 2 cm by 2 cm are placed side by side, what would the length $(l_{1})$ , breadth $(b_{1})$ , and height $(h_{1})$ of the resulting cuboid be?

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$l_{1} = 4 cm, b_{1} = 2 cm, h_{1} = 2 cm$

$l_{1} = 4 cm, b_{1} = 4 cm, h_{1} = 4 cm$

$l_{1} = 2 cm, b_{1} = 2 cm, h_{1} = 2 cm$

$l_{1} = 6 cm, b_{1} = 2 cm, h_{1} = 2 cm$

answer is C.

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Detailed Solution

Given: Dimension of a cube = 2 cm × 2 cm × 2 cm

After joining two cubes, the resulting figure is shown below.

As we can see when kept side by side, the length is the only measurement which increases, it becomes 2 + 2 = 4 cm.

The breadth = 2 cm and the height = 2 cm.

$∴ l_{1} = 4 cm, b_{1} = 2 cm, h_{1} = 2 cm$

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