To find the volume of the onyx used, we have to find the volume of the larger figure and then subtract the volume of the smaller figure from it.
The volume of onyx used is equal to 128in^3
Volume of the larger figure
Let's proceed to multiply through the length, width and height of the figure to determine the volume.
[tex]volume = length * width * height \\volume = 8 * 8 * 3\\volume = 192in^3[/tex]
The volume of the larger figure is 192in^3
Let's calculate the volume of the square hole
[tex]volume of square = (length)^3\\volume of the square = 4^3 \\volume of the square = 64in^3[/tex]
Data;
- Volume of larger figure = 192in^3
- volume of the square hole = 64in^3
Let's subtract now and calculate the volume of onyx used
[tex]volume of onyx used = 192 - 64 = 128in^3[/tex]
The volume of onyx used is equal to 128in^3
Learn more on volume of a square here;
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