1/// The truck for a moving company has interior dimensions of 187" x 89" x 77" but dimensions of the storage boxes are 24" x 14" x 27"

Question

if the moving company needs to move 200 storage different determine how many trucks will be needed

2/// Gomer stores his iguana food in a van that is 8 inches tall and has a diameter of 6 inches He stores his hamster food in a can that is 10 inches tall and has a diameter of 5 inches which can is larger.

a) the iguana food can
b) the hamster food can
c) they are the same size
d) insufficient amount of information to know

Answer 1

1. Vt = 187*89*77 = 1,281,511 in^3 per truck.

Vb = 24*14*27 = 9,072 in^3 per box.

9,072in^3/box * 200boxes = 1,814,400 in^3 of space needed.

1,281.511*N = 1,814,400.
N = 1,814,400/1,281,511 = 1.4 or 2 trucks.

Answer 2

2. Iguana food:
V = pi*r^2*h = 3.14 * 3^2 * 8 = 226.1 in^3.

Hamster food:
V = 3.14 * 2.5^2 * 10 = 196.3 in^3.