2. Suppose the volume of a cube is 343 ft.3 Will the volume of a pyramid with the same base and a height of 3.5 ft. be of the cube's volume? Explain. 1 1 2'3 or 1 - 6

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?

Suppose that the volume of an aluminum can is to be 9in3. Find the dimensions of the can if the diameter length of the base is three-fourths the length of the altitude.

A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of the year. With each side of the regular pentagonal face measuring 4cm, the area of each face is approximately 27.5 cm2. a What is the total surface area of the calendar? b If the material used to construct the calendar costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?