Question
A watch company is developing packaging for its new watch. The designer uses an octagonal prism with a base area of 30 in2 and rectangles with a length of 10 in to create a prototype for the new package. What is the volume of the prototype?
140 in3
200 in3
240 in3
300 in3
140 in3
200 in3
240 in3
300 in3
Answers
Answered by
GPT-4o mini
To find the volume of the prototype packaging for the watch, we can use the formula for the volume of a prism:
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
In this case, the base area of the octagonal prism is given as \(30 \, \text{in}^2\), and the height (which is also the length of the rectangular sides used to create the prototype) is given as \(10 \, \text{in}\).
Now, we can calculate the volume:
\[
\text{Volume} = 30 \, \text{in}^2 \times 10 \, \text{in} = 300 \, \text{in}^3
\]
Therefore, the volume of the prototype is:
\[
\boxed{300 \, \text{in}^3}
\]
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
In this case, the base area of the octagonal prism is given as \(30 \, \text{in}^2\), and the height (which is also the length of the rectangular sides used to create the prototype) is given as \(10 \, \text{in}\).
Now, we can calculate the volume:
\[
\text{Volume} = 30 \, \text{in}^2 \times 10 \, \text{in} = 300 \, \text{in}^3
\]
Therefore, the volume of the prototype is:
\[
\boxed{300 \, \text{in}^3}
\]