Question

four cubes each of side 4 cm are joined together . find the lateral surface area of the cuboid so obtained​

Answer 1

The lateral surface area of the cuboid so obtained is 160 square centimeter.

Step-by-step explanation:

Given:

Length of each side of a cube is, $a=4\ cm$

Number of cubes is, $N=4$

Now, when the cubes are joined together, the result is a cuboid. The length of the cuboid is the sum of all the lengths of the cubes joined. The width and the height of the resulting cuboid will be equal to the one length of side of the cube.

The total length of the cuboid is given as:

$L=\textrm{Length of a side of the cube}\times \textrm{Number of cubes}\\L=4\times 4 =16\ cm$

The width and height of the resulting cuboid is given as:

$B=a=4\ cm\\H=a=4\ cm$

Now, lateral surface area of a cuboid is given as:

$L.S.A=2(L+B)\times H\\L.S.A=2(16+4)\times 4\\L.S.A=2\times 20\times 4=160\ cm^2$

Therefore, the lateral surface area of the resulting cuboid is 160 square centimeters.

Answer 2

Answer:

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