Respuesta :

We have a rectangular prism.

In general, for any prism, the next expression is valid:

[tex]V=A\cdot h[/tex]

Where A is the area of the base and h is the height

So, first, we need to calculate the area of the base. As it is a rectangle, we know that the area is given by:

[tex]A=34in\cdot23in=782in^2[/tex]

Then, based on the figure: DBB=9in

Finally, we use the formula that is actually already expressed in the document (Notice that, in this case, h=DBB, A=AB)

[tex]V=A_B\cdot\text{DBB}=(782in^2)\cdot(9in)=7038in^3[/tex]

As for the last step, we need to round to the nearest hundredth. This is unnecessary as we are working with whole numbers

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