Question

Three of these expressions are equal to the volume of the house shown. Which expression is NOT?

Answer 1

The first one is not the volume of the house, that is

gh +
`(1)/(2)`jh

The remaining 3 all give the correct volume which is

V = volume of triangular prism + volume of rectangular prism

=
`(1)/(2)`gh (k - j ) + ghj

Answer 2

`gh+((1)/(2)jk)`

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

`V1=hjg\ units^(3)`

Find the volume of the triangular prism

`V2=(1)/(2)hg(k-j)\ units^(3)`

The area of the figure is equal to

`[hjg+(1)/(2)hg(k-j)]\ units^(3)`

therefore

the expression that is not equal to the volume of the figure is

`gh+((1)/(2)jk)`