The trim (shaded area) around the edge of a trunk. If the trim is painted all the way around, what is the surface area to be painted?

Question

The trunk has 2 trims that are 3inches.
The trunk's measurements are: 36 inches length in front, by 28 in width, and 25 in height.
Kind of lost. Thank you.
The answer is 636 sq. inches, but I could not come up with that answer...

Answer 1

To determine the surface area of the trim that needs to be painted, we need to find the perimeter of the trunk's base and multiply it by the height of the trim.

The perimeter of the base can be calculated by adding all the sides of the rectangular base, which would be:
2(36 inches) + 2(28 inches) = 144 inches + 56 inches = 200 inches.

Since the trunk has 2 trims, each of which is 3 inches, the total height of the trim to be painted would be 2(3 inches) = 6 inches.

Now, multiply the perimeter of the base (200 inches) by the height of the trim (6 inches) to find the surface area of the trim:
200 inches * 6 inches = 1200 square inches.

Therefore, the surface area to be painted is 1200 square inches, not 636 square inches. It seems there may be a mistake in the answer you were given.

Answer 2

That is what I did, but the answer is wrong. Do you have another suggestion? Thanks.

Answer 3

Apologies for the confusion. Let's calculate the surface area of the trim again:

The perimeter of the base is:
2(36 inches) + 2(28 inches) = 72 inches + 56 inches = 128 inches.

Since there are 2 trims, each of which is 3 inches wide, the total width of the trim to be painted would be 2(3 inches) = 6 inches.

Now, multiply the perimeter of the base (128 inches) by the width of the trim (6 inches) to find the surface area of the trim:
128 inches * 6 inches = 768 square inches.

Therefore, the correct surface area to be painted is 768 square inches, not 636 square inches.