Question

Erica has a small metal treasure box. The inside of the box is 3 inches wide, 6 inches long, and 4 inches deep. Erica wants to line the box with fabric to protect the items she puts in the box. How many square inches of fabric will she need? Show your work

Answer 1

Answer: she will need 108 square inches of fabric.

Step-by-step explanation:

To determine the number of square inches of fabric that she will need, we would determine the surface area of the inner part of the box. The formula for determining the surface area of a box or cuboid is expressed as

Surface area = (2lw + 2lh + 2wh)

Where

l represents length of the box = 6 inches

w represents width of the box = 3 inches

h represents height of the box = 4 inches

Therefore,

Surface area = (2 × 6 × 3) + (2 × 6 × 4) + (2 × 3 × 4) = 108 inches²