Question

Fuel wood is measured in cords. The number of cords in a pile l ft long, w ft wide, and h ft tall can be estimated using the equation number of cords = lwh/128. Hannah measures a pile of wood to be 14 ft 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
2) number of cords = 280, h
3) number of cords = 128h
4) number of cords = 128, h
5) number of cords = 280h/128
6) number of cords = (280h)/128

Answer 1

The correct equation to determine the number of cords in a wood pile h ft tall, 14 ft long, and 20 ft wide is number of cords = 280h/128 or (280h)/128.

Step-by-step explanation:

The equation that can be used to determine the number of cords in a pile of wood, given the pile is h ft tall, 14 ft long, and 20 ft wide, can be found using the formula provided: number of cords = lwh/128. Plugging in the known values for length (l = 14 ft) and width (w = 20 ft), we get the equation number of cords = (14 ft × 20 ft × h ft) / 128. Simplifying this expression gives us number of cords = 280h/128, which can be further simplified to number of cords = (280h)/128. Both options 5) and 6) in the provided list are correct, as they are mathematically identical.