Dominique is building a flower box for her yard. The outline of the box is shown in the diagram. If she was to cover the box with burlap to protect it, how much burlap boes she need to buy? Length 2 feet height 1 foot on a rectangular prism.

1 answer

Dominique needs to buy 6 square feet of burlap to cover the flower box.

To find the surface area of the rectangular prism (which is the amount of burlap needed), use the formula:

Surface Area = 2lw + 2lh + 2wh

where l is length, w is width, and h is height.

In this case, the length is given as 2 feet, the height is given as 1 foot, and the width is not specified. However, we can assume that the flower box has equal width and length (i.e. it is a square base).

So, we can substitute 2 feet for both l and w:

Surface Area = 2(2)(1) + 2(2)(1) + 2(2)(1)

Surface Area = 4 + 4 + 4

Surface Area = 12

Therefore, Dominique needs to buy 12 square feet of burlap to cover the flower box. However, burlap is usually sold by the yard, so she would need to buy 4 yards of burlap (since 1 yard is equal to 3 feet).