So, the required volume of the given wooden block is 432 cubic cm.
The volume of the rectangular and triangular prism:
The formula for the volume of the rectangular prism is,
[tex]v=l\times b \times h[/tex]
And the formula for the volume of the triangular prism is,
[tex]v=\frac{1}{2} \times b \times h[/tex]
It is given that,
The volume of the wood is equal to the volume of the rectangular prism and triangular prism.
So, by using the above formula we can write as,
The volume of the wood is,
= volume of the wood is equal to the volume of the rectangular prism + triangular prism.
[tex]=l\times b\times h+\frac{1}{2}\times h\times l\\ =12\times 4.5 \times 5.5 +\frac{1}{2} \times 12\times 4.5 \times 5\\=297+135\\=432 cm^3[/tex]
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