Question

Please answer with calculations

Answer 1

Yes, we have enough storage space.

Explanation:

25 storage racks that are:

Length: Lsr = 25 ft = 25 ft (12 in / 1 ft) → Lsr = 300 in

Width: Wsr = 3 ft = 3 ft (12 in / 1 ft) → Wsr = 36 in

Height: Hsr = 12 ft = 12 ft (12 in / 1 ft) → Hsr = 144 in

5000 boxes 15x8x10 in

Length: Lb = 15 in

Width: Wb = 8 in

Height: Hb = 10 in

In the length of each storage rack we can put:

Nl=Lsr/Lb=300 in / 15 in → Nl = 20

In the width of each storage rack we can put:

Nw=Wsr/Wb=36 in / 8 in = 4.5 → Nw = 4

In the height of each storage rack we can put:

Nh=Hsr/Hb=144 in / 10 in = 14.4 → Nh = 14

Then we can put in each storage rack:

N = Nl Nw Nh = (20)(4)(14) → N=1,120 boxes

And we have 25 storage racks, then we can storage in total:

Nt=25N=25(1,120)→Nt=28,000 boxes

And we have 5,000 boxes, then we have enough storage space

Answer 2

Explanation:

Given that a storage rack has dimensions as 25x12x5 ft.

Box has dimensions as 15x8x10 inches

Volume of each box = 15(8)(10) = 1200 inches = 1200x12^(-3) feet^3

Volume of 5000 boxes = 5000 (1200x12^(-3) ) = 3472.22 cubic feet

Volume of storage rack = 25(12)(5) = 1500 cubic feet

Volume of 25 storage racks 1500(25) = 37500 cubic feet.

SInce storage racks have sufficient volume it is concluded that enough storage is there.