2. T a. Students are sometimes confused about the difference between the surface area and the vohame of a box. Explain the two concepts in a way that could help students learn to distinguish between them. b. Determine the surface area and the volume of a closed box that is 5 in. wide, 4 in. deep, and 6 in. tall. Explain in detail why you calculate as you do.

The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?

Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?