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3 years ago

14

PL HELP !!!!!!!!!Chris is loading medical supply boxes into a crate. Each supply box is 1.5 feet tall, 1 foot wide, and 2 feet d

eep. 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

1 answer:

marissa [1.9K]3 years ago

8 0

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,

$V_{Box} = whl$ .............................(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,

$V_{Box} = (1.5)(1)(2)$

= 3 cubic feet

$V_{Box} =3 cubic feet$

Step:2

Volume of crate,

$V_{crate} = whl$ .............................(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,

$V_{Box} = (9)(10)(10)$

= 900 cubic feet

$V_{Box} =900 cubic feet$

Step:3

No. of boxes can pack in the crate,

= $\frac{Volume of crate}{Volume supply box}$

= $\frac{900}{3}$

= 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.

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