Question
Angie is wrapping a present for
her best friend. The box is 16
inches long, 12 inches wide,
and 3 inches high. How many
square inches of wrapping
paper does Angie need for her
present?
her best friend. The box is 16
inches long, 12 inches wide,
and 3 inches high. How many
square inches of wrapping
paper does Angie need for her
present?
Ask by Frank Mills. in the United States
Mar 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Angie needs 552 square inches of wrapping paper.
Solution
The surface area
of a rectangular prism is given by:
where:
-
is the length, -
is the width, and -
is the height.
Given:
-
inches, -
inches, -
inches.
Step 1: Compute the area of each pair of faces:
Step 2: Sum the areas of the three distinct faces:
Step 3: Multiply by 2 to get the total surface area:
Thus, Angie needs
square inches of wrapping paper.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
To find out how much wrapping paper Angie needs, we first need to calculate the surface area of the box. The surface area of a rectangular box is given by the formula:
Plugging in Angie’s dimensions:
Calculating inside the parentheses first gives:
Adding those up:
Now multiply by 2:
So, Angie needs 552 square inches of wrapping paper! 🎁✨
Did you know that the world’s largest gift wrapping event took place in 2014 in Japan? Over 1,000 volunteers came together to wrap gifts for charity, showcasing skills and creativity on a massive scale! It was truly a sight to behold!
If Angie wants to add a personal touch, she could also consider using recycled materials like newspaper or fabric scraps for a unique twist! Not only is it eco-friendly, but it also adds character to the gift and can spark delightful conversations. Plus, who doesn’t love a little surprise when unwrapping?