8 cubes each of size 3 cm have been kept to form another cube. Find the volume of the new cube.

8 cubes each of size 3 cm have been kept to form another cube. Find the volume of the new cube.

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  1. Solution:-

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    [tex]\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}[/tex]

    ⇢ Here, the question has given us that there are 8 cubes each of size 3 have been kept to form another cube. Now, the question has asked us to find the the volume of the new cube formed. So, to find the answer we simply have to apply the formula of volume of cube. The final digits will be the volume of the new cube.

    ANSWER:-

    ⟹ Volume of the new cube is 216 cm³.

    GIVEN:-

    ➮ Number of cubes = 8

    ➮ Size of cube = 3 cm

    TO FIND:-

    ⇒ Volume of new cube = ?

    FORMULA:-

    [tex]{\underline{ \overline{ \boxed{ \bf{\leadsto{ Volume \: of \: cube = {a}^{3} \: cubic \: units}}}}}}[/tex]

    SOLVING BY APPLYING THE FORMULA:-

    ➮ Number of cubes = 8

    ➮ Size of cube = 3 cm

    [tex]{\sf{\to{ Volume \: of \: cube = {a}^{3} \: cubic \: units}}}[/tex]

    ⇾ Volume of new cube = 8 (Side)³

    ⇾ Volume of new cube = 8³

    ⇾ Volume of new cube = 8 × 3 × 3 × 3

    ⇾ Volume of new cube = 8 × 27

    ⇾ Volume of new cube = 216 cm³

    Thus, we got the answer. Volume of the new cube is 216 cm³.

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