Question

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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Answer 1

Hello,

Volume of the window box=5*1/2*3/4=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 2

`3\ bags`

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

`(1)/(0.625)(bag)/(ft^(3))=(x)/(1.875)(bag)/(ft^(3))`

`x=1.875/0.625\\x= 3\ bags`