Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a watch company is developing packaging for its new watch. the designer…

Question

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: Substitute values

We are given that $B = 20$ in² and $h=10$ in. Substitute these values into the formula: $V=20\times10$.

Step3: Calculate volume

$V = 200$ in³.

Answer:

200 in³