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christopherarreola56
16.04.2020 •
Mathematics
Chris is loading medical supply boxes into a crate. Each 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. What is the maximum number of supply boxes she can pack in the crate?
A. 200
B. 300
C. 450
D. 600
Solved
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Ответ:
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,
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,
= 3 cubic feet
Step:2
Volume of crate,
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,
= 900 cubic feet
Step:3
No. of boxes can pack in the crate,
=![\frac{Volume of crate}{Volume supply box}](/tpl/images/0605/6963/b0aa8.png)
=![\frac{900}{3}](/tpl/images/0605/6963/bac55.png)
= 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.
Ответ: