Question

jack and maureen are opening an ice hotel. th e structure and furniture are made out of ice. they must determine the weight of some of the ice furniture to decide the size of the crane needed to lift each piece into place. maureen knows that ice weighs approximately 62.4 pounds per cubic foot. find the approximate weight of each of the figures below. a. the stage in the banquet hall measures 22 ft by 15 ft by 4 ft. b. two cylindrical pillars will flank the front door. each cylinder has diameter 1 ft and height 9 ft. c. a series of four spheres will decorate the reception area. the largest sphere has diameter 4 ft. the other three spheres have diameter 2 ft, 1 ft, and 1/2 ft.

Answer 1

A. volume of the stage in the banquet hall = 22 x 15 x 4 = 1,320 cubic foot.
 weight of the stage in the banquet hall:
1 cubic foot weighs 62.4 pounds
1,320 cubic feet will weigh 1,320 x 62.4 = 82,368 pounds.

b. volume of each cylindrical pillar = pi * r^2 * h = pi * (1/2)^2 * 9 = pi * 1/4 * 9 = 7.069 cubic feet
weight of each cylindrical pillar:
1 cubic foot weighs 62.4 pounds
7.069 cubic feet will weigh 7.069 x 62.4 = 441 cubic feet.