asked 78.3k views
4 votes
Marcella has to cover a box that is 11.75 in by 12.2 in and 9 in high. How much paper does she need to cover the box with none left over?

asked
User Deysi
by
7.8k points

1 Answer

4 votes

Answer:

Marcella will need 717.8 square inches of paper to covert the box with none left over.

Explanation:

  • Since we have different dimensions for the box, we know it's a rectangular box (aka a rectangular prism).
  • Because Marcella has to cover the box, we want to find the surface area of the box.

The formula for the surface area of a rectangular box is given by:

SA = 2lh + 2lw 2wh, where

  • SA is the surface area in units squared,
  • l is the length,
  • h is the height,
  • and w is the width.

If we let 11.75 represent the length, let 12.2 represent the height, and let 9 represent the width, we can now find the surface area of the box by substituting these values for the variables in the rectangular box surface formula:

SA = 2(11.75 * 12.2) + 2(11.75 * 9) + 2(9 * 12.2)

SA = 2(143.35) + 2(105.75) + 2(109.8)

SA = 286.7 + 211.5 + 219.6

SA = 717.8

Thus, Marcella will need 717.8 square inches of paper to covert the box with none left over.

answered
User Hermann Hans
by
8.8k points
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