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28 votes
21. Five metal cubes with sides of 5 cm were melted and casted into a bigger cube. Find the volume of the new cube.A. 125 cu.cmB. 405 cu. cmC. 325 cu. cmD. 625 cu. cm

User AlexQueue
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1 Answer

21 votes
21 votes

Answer:


625\text{ cu. cm}

Step-by-step explanation:

Here, we want to get the volume of the combined cubes

Mathematically, that would be the sum of the volumes of the individual cubes

The volume of a cube can be obtained using the formula below:


V\text{ = l}^3

where l is the side length of a cube

The volume of one of the cubes is thus:


V\text{ = 5}^3\text{ = 125 cu cm}

Now, the total volume would be:


\begin{gathered} V_T\text{ = V}_1\text{ + V}_2\text{ + V}_3\text{ + V}_4\text{ + V}_5 \\ V_T\text{ = 125 + 125 + 125 + 125 + 125 = 625 cu. cm} \end{gathered}

User Axbeit
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