Question

The volume of a right rectangular prism is found by multiplying the length of the base by the width of the base by the height of the prism. A right rectangular prism has a volume of 30 cubic inches. If the heightof the prism is 6 inches, what is the area of the base of the prism?The table above shows a survey of 50 registered voters in a city. Each voter was asked whether they planned to vote “yes” or “no” on two different issues. If a voter who plans to vote “yes” on issue P is randomly selected, what is the probability that voter also plans to vote “yes” on issue Q?A. 5 square inchesB. 24 square inchesC. 36 square inchesD. 180 square inches

Answer 1

Explanation:

If the length of the prism is a, the width is b, and the height is c, the volume of a right rectangular prism is found as follows:

Where (ab) is the area of the base of the prism.

The information that we have is that the volume V, and the height c are:

`\begin{gathered} V=30in^3 \\ c=6in \end{gathered}`

To find (ab) the area of the base, we use the volume formula:

`V=abc`

and substitute the known values:

`30in^3=(ab)(6in)`

Solving for ab, the result is:

`\begin{gathered} (30in^3)/(6in)=ab \\ \downarrow \\ \boxed{5in^2}=ab \end{gathered}`

The area of the base is 5 square inches (option A).

Answer:

A. 5 square inches