Question

You are interested in buying a gift that is shaped like a cube for your friend. You have two different sizes to choose from. One has a side length(s) of 2 yard and the other is 2.5 yards in length. You only have 7 square yards of wrapping paper(A), so you need to make sure the size of the cube can be wrapped with that amount of paper. The side length of the cube can by the equation in the attached document. how much paper is needed to wrap each box?

Do you have enough paper to wrap both boxes? Explain why or why not.

Answer 1

You do not have enough wrapping paper to wrap either of the cubes, as the first cube requires 24 square yards and the second cube requires 37.5 square yards. You only have 7 square yards of wrapping paper available.

Step-by-step explanation:

To determine how much wrapping paper is needed to wrap a cube, we need to calculate the surface area of the cube. The surface area (A) of a cube can be found using the formula A = 6s², where s is the side length of the cube.

For the first cube with a side length of 2 yards:

• A = 6 × (2 yards)²
• A = 6 × 4 square yards
• A = 24 square yards

For the second cube with a side length of 2.5 yards:

• A = 6 × (2.5 yards)²
• A = 6 × 6.25 square yards
• A = 37.5 square yards

You have only 7 square yards of wrapping paper, which is not enough to wrap either of the cubes, since the first cube requires 24 square yards and the second cube requires 37.5 square yards of paper. Therefore, you do not have enough paper to wrap both cubes.