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question 10 a watch company is developing packaging for its new watch. …

Question

question 10
a watch company is developing packaging for its new watch. the designer uses a pentagonal prism with a base - area of 20 in² and rectangles with a length of 10 in to create a prototype for the new package. what is the volume of the prototype?
90 in³
200 in³
300 in³
1000 in³

Explanation:

Step1: Recall volume formula

The volume formula for a prism is $V = Bh$, where $B$ is the base - area and $h$ is the height (or length in this case).

Step2: Identify values

We are given that $B = 20\ in^{2}$ and $h=10\ in$.

Step3: Calculate volume

Substitute the values into the formula: $V=20\times10 = 200\ in^{3}$.

Answer:

$200\ in^{3}$