Question

Fuel wood is measured in cords. the number of cords in a pile/ ft long, w ft wide, and h feet tall can be estimated using the equation number of cords= lwh/ 128. Hannah measures a pile of wood to be 14 fr long by 20 ft wide.

Which equation can be used to determine the number of cords in a pile of wood h ft tall?

1. Number of cords= 280h/128
2. Number of cords= 280h
3. Number of cords= 128h/280
4. Number of cords= 128h

Answer 1

Answer: 1. Number of cords= 280h/128

Explanation:

Since,
`\text{ Number of cords} = (lwh)/(128)`

Where l = length of a pile of wood,

w = width of the pile of wood,

h = height of the pile of wood.

Here, l = 14 ft and w = 20 ft,

⇒
`\text{ Number of cords} = (14* 20* h)/(128)`

⇒
`\text{ Number of cords} = (280 h)/(128)`

Therefore, Option (1) is correct.