Three of these expressions are equal to the volume of the house shown. Which expression is NOT?
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The first one is not the volume of the house, that is
gh + [tex]\frac{1}{2}[/tex]jh
The remaining 3 all give the correct volume which is
V = volume of triangular prism + volume of rectangular prism
= [tex]\frac{1}{2}[/tex]gh (k - j ) + ghj
Answer:
[tex]gh+(\frac{1}{2}jk)[/tex]
Step-by-step explanation:
we know that
The volume of the figure is equal to the volume of the rectangular prism plus the volume of the triangular prism
Find the volume of the rectangular prism
[tex]V1=hjg\ units^{3}[/tex]
Find the volume of the triangular prism
[tex]V2=\frac{1}{2}hg(k-j)\ units^{3}[/tex]
The area of the figure is equal to
[tex][hjg+\frac{1}{2}hg(k-j)]\ units^{3}[/tex]
therefore
the expression that is not equal to the volume of the figure is
[tex]gh+(\frac{1}{2}jk)[/tex]