Answer:
Total surface area = 154 in²
Explanation:
The prism has a total of 6 surfaces: top and bottom, 2 sides, and 2 ends.
We have to find the area of each top, side, end, and then add these together, and then multiply the result by 2 to finish the job.
Area of top: (5 in)(3.5 in) = 17.5 in²
Area of side: (5 in)(7 in) = 35 in²
Area of end: (3.5 in)(7 in) = 24.5 in²
Now add these three results together and multiply the sum by 2:
2( 17.5 in² + 35 in² + 24.5 in²) = total surface area = 154 in²
To answer the other part of this question: find the volume of this prism:
V = length · width · ht = (5 in)(3.5 in)(7 in) = 122 in³.
Yes, this box can definitely hold 22 in³ of packing peanuts.