answer : 1.) a. V = s3
V = (7 km)3
V = 7 km × 7 km × 7 km
V = 343 km3
b. V = s3
V = (11 yd.)3
V = 11 yd. × 11 yd. × 11 yd.
V = 1,331 km cu. yd.
2.)
a. V = l × w × h
V = 6 m × 2 m × 3 m
V = 36 m3
b. V = l × w × h
V = 5 ft. × 10 ft. × 8 ft.
V = 400 cu. ft.
3.)
a. V = πr2h
V = 3.14 × (3 in.)2 × 3 in.
V = 3.14 × 9 sq. in. × 3 in.
V = 84.78 cu. in.
b. V = πr2h
4.) V = 3.14 × (1 m)2 × 4 m
V = 3.14 × 1 m2 × 4 m
V = 12.56 m3
V = s3
V = (2 ft.)3
V = 2 ft. × 2 ft. × 2 ft.
V = 8 cu. ft.
5.)Answer: The capacity of the ice chest is 8 cubic feet.
V = πr2h
V = 3.14 × (1 ft.)2 × 3 ft.
V = 3.14 × 1 sq. ft. × 3 ft.
V = 9.42 cu. ft.
Answer: The volume of the trash can is 9.42 cubic feet.
6.) Closet #1
V = l × w × h
V = 4 ft. × 5 ft. × 8 ft.
V = 160 cu. ft.
Closet #2
V = l × w × h
V = 6 ft. × 3 ft. × 8 ft.
V = 144 cu. ft.
Compare the size of the closets
160 cu. ft. > 144 cu. ft.
Answer: The first closet is larger.
7.) both the can and the pan are cylindrical shapes. Compare the volumes of the two objects.
Volume of Can
V = πr2h
V = 3.14 × (1.5 in.)2 × 5 in.
V = 3.14 × 2.25 sq. in. × 5 in.
V = 35.325 cu. in.
Volume of Pan
V = πr2h
V = 3.14 × (4 in.)2 × 3 in.
V = 3.14 × 16 sq. in.× 3 in.
V = 150.72 cu. in.
35.325 cu. in. soup can