Could you check these please? Firewood is usually sold by a measure known as a cord. A full cord may be a stack 8x4x4ft or a stack 8x8x2ft
10. what is the volume of a full cord?
8*4*4=(128ft)
11. A short cord or a face cord of wood is 8x4xThe lenght of the logs. What is the volume of a short cord of 2 1/2ft logs?
8*4*2 1/2=(80ft)
12. If you have an area that is 12ft long and 2ft wide in which to store your firewood, How high will a stack be if it is a full cord of wood?
12*2*2=(48ft)
#10 and #11 are correct if the answers were 128 ft³ and 80 ft³ (or cubic feet).
A full cord of wood occupies 128 ft³, so the height needs to be:
128/(12*2)=5 1/3 ft or 5'-4".
Thank you I didn't know I had to put cubed at the end of them. Can I ask why I need cubed at the end?
Foot (or feet) is for linear measurements, ft² for areas, and ft³ is required for volumes.
A cord of wood measures the volume, obtained by multiplying:
8 ft x 8 ft x 2 ft
= 8 x 8 x 2 x ft x ft x ft
= 128 ft³
So the dimensions (units) are being multiplied as well.
Ok I understand now. I knew about the squared part for area's but I didn't even think about applying that to Volume. Thanks again
You're welcome!
To answer these questions, we need to calculate the volume of firewood stacks.
10. The volume of a full cord is calculated by multiplying the length, width, and height of the stack. According to the given information, a full cord can be a stack measuring 8x4x4ft or 8x8x2ft. Let's calculate the volume for both:
- For the first stack, the volume would be 8 * 4 * 4 = 128 cubic feet.
- For the second stack, the volume would be 8 * 8 * 2 = 128 cubic feet as well.
Therefore, the volume of a full cord is 128 cubic feet.
11. For a short cord or face cord of wood, the calculation is similar. The volume is obtained by multiplying the length, width, and height of the stack. Given that a short cord is 8x4x(the length of the logs), and the logs have a length of 2 1/2ft, we can calculate the volume:
- The volume would be 8 * 4 * 2.5 = 80 cubic feet.
So, the volume of a short cord of 2 and 1/2 ft logs would be 80 cubic feet.
12. If you have an area measuring 12ft long and 2ft wide to store your firewood and you want to stack a full cord of wood, we need to determine the height the stack will reach. The formula for the volume of a stack is again length * width * height. In this case:
- The volume should be 12 * 2 * height = 48 cubic feet (as it represents a full cord).
To solve for height, we can rearrange the formula and divide both sides by (12*2):
height = 48 / (12 * 2) = 2 feet.
Therefore, the stack of a full cord of wood in an area measuring 12ft long and 2ft wide would have a height of 2 feet.