Answer:
[tex]Volume = 6.5025cm^3[/tex]
Explanation:
Given
Initial Form: Onyx
Final Form: Rectangular Solid
Dimension of Solid = 5.10 cm by 5.10 cm by 2.50 mm
Required
Volume of the solid (in cm³)
The volume of a solid is calculated as thus;
[tex]Volume = Length * Width * Height[/tex]
Assume the following;
[tex]Length = 5.10cm\\Width = 5.10cm\\Height = 2.50mm[/tex]
The first thing to do is to convert the assumed height from mm to cm
Given that;
[tex]1mm = 0.1cm[/tex]
This implies that
[tex]2.50mm = 2.50 * 0.1cm\\2.50mm = 0.25cm[/tex]
Hence, the dimension of the solid in cm is:
[tex]Length = 5.10cm\\Width = 5.10cm\\Height = 0.25cm[/tex]
The Volume is then calculated as;
[tex]Volume = 5.10cm* 5.10cm * 0.25cm[/tex]
[tex]Volume = 6.5025cm^3[/tex]
Hence, the volume of the rectangular solid is [tex]Volume = 6.5025cm^3[/tex]
