Question

Jennifer is wrapping presents. One of the rectangular gift boxes has dimensions 1 in. • 7 in. • 3 in. and the other has dimensions 2 in. • 7 in. • 9 in. How much wrapping paper will she need to wrap both gifts in total? Explain;)

Answer 1

Answer:

Total amount of wrapping required = 252 inch²

Step-by-step explanation:

Dimensions of the 1st box are given by,

Length = 1 inch, Width = 7 inch and Height = 3 inch

As, Surface area of a rectangular box = $2(Length\times Width+Length\times Height+Height\times Width)$

So, Surface area of the 1st box = $2(1\times 7+1\times 3+3\times 7)$

i.e. Surface area of the 1st box = $2(7+3+21)$

i.e. Surface area of the 1st box = 2 × 31 = 62 inch²

Further, we have,

Dimensions of the 2nd box are given by,

Length = 2 inch, Width = 7 inch and Height = 9 inch

So, Surface area of the 2nd box = $2(2\times 7+2\times 9+9\times 7)$

i.e. Surface area of the 2nd box = $2(14+18+63)$

i.e. Surface area of the 2nd box = 2 × 95 = 190 inch²

Thus, the total amount of wrapping required = 62 + 190 = 252 inch².