Question

question 1 (multiple choice worth 1 point(s)) (06.02 mc) 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? o 90 in³ o 200 in³ o 300 in³ o 1000 in³

Explanation:

Step1: Recall volume formula for prism

The volume formula for a prism is $V = B\times h$, where $B$ is the base - area and $h$ is the height.

Step2: Identify base - area and height values

The base area $B = 20$ in² and the height (length of the rectangular part which is the same as the height of the prism) $h=10$ in.

Step3: Calculate the volume

Substitute $B = 20$ in² and $h = 10$ in into the formula $V=B\times h$. So, $V=20\times10 = 200$ in³.

Answer:

C. 200 in³