Question

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

Answer 1

`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}`