Respuesta :

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]