Question

question 10 (single choice)
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?
10 in³
20 in³
120 in³
200 in³

Explanation:

Step1: Recall the volume formula for a prism

The volume \( V \) of a prism is given by the formula \( V = B \times h \), where \( B \) is the base area and \( h \) is the height (or length, in this case) of the prism.

Step2: Identify the given values

We are given that the base area \( B = 20\ \text{in}^2 \) and the length (height) \( h = 10\ \text{in} \).

Step3: Calculate the volume

Substitute the given values into the formula: \( V = 20 \times 10 \).
\( V = 200\ \text{in}^3 \)

Answer:

\( 200\ \text{in}^3 \) (corresponding to the option with 200 in³, assuming the options are like "200 in³" among the choices)