The maximum number of supply boxes she can pack in the crate is 300, if supply box is 1.5 feet tall, 1 foot wide, and 2 feet deep. The crate is 9 feet high, 10 feet wide, and 10 feet deep.
Step-by-step explanation:
The given is,
Dimensions of supply box - 1.5 feet tall, 1 foot wide, and 2 feet deep
Dimensions of crate - 9 feet high, 10 feet wide, and 10 feet deep
Step:1
Volume of supply box,
[tex]V_{Box} = whl[/tex].............................(1)
Where, w - Width of box
h - Height of box
l - Length of box
From the given,
h = 1.5 feet
w = 1 foot
l = 2 feet
Equation (1) becomes,
[tex]V_{Box} = (1.5)(1)(2)[/tex]
= 3 cubic feet
[tex]V_{Box} =3 cubic feet[/tex]
Step:2
Volume of crate,
[tex]V_{crate} = whl[/tex].............................(1)
Where, w - Width of box
h - Height of box
l - Length of box
From the given,
h = 9 feet
w = 10 foot
l = 10 feet
Equation (1) becomes,
[tex]V_{Box} = (9)(10)(10)[/tex]
= 900 cubic feet
[tex]V_{Box} =900 cubic feet[/tex]
Step:3
No. of boxes can pack in the crate,
= [tex]\frac{Volume of crate}{Volume supply box}[/tex]
= [tex]\frac{900}{3}[/tex]
= 300 supply boxes
Result:
The maximum number of supply boxes she can pack in the crate is 300, if supply box is 1.5 feet tall, 1 foot wide, and 2 feet deep. The crate is 9 feet high, 10 feet wide, and 10 feet deep.
