Zen wants to fill a window box with soil. The length of the window box is 5 feet, width is 6 inches, and height is 9 inches. Each bag of soil contains 0.625 cubic foot of soil. How many bags of soil will Zen need to fill the window box completely?


[1 foot = 12 inches]


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Verified Answer :

caylus

Hello,

Volume of the window box=51/23/4=15/8 (ft^3)
Volume of the bag=0.625= 5/8 (ft^3)

Number of bags of soil= (15/8)/(5/8)=15/8* 8/5=3 .

Answer:

\(3\ bags\)

Step-by-step explanation:

we know that

The volume of the windows box is equal to

\(V=lwh\)

where

l is the length side of the box

w is the width side of the box

h is the height of the box

In this problem we have

\(l=5\ ft\)

\(w=6\ in\) ------> convert to feet ----->\(6/12=0.5\ ft\)  

\(h=9\ in\) ------> convert to feet ----->\(9/12=0.75\ ft\)

substitute the values

\(V=5*0.5*0.75=1.875\ ft^{3}\)

Find how many bags of soil will Zen need to fill the window box completely

by proportion

\(\frac{1}{0.625}\frac{bag}{ft^{3}}=\frac{x}{1.875}\frac{bag}{ft^{3}}\)

\(x=1.875/0.625\\x= 3\ bags\)