amy said there are three cubic feet in a cubic yard explain why amy is incorrect
1 yd = 3 ft
(1 yd)^3 = (3 ft)^3 = 27 ft^3
HI the problem is [2/3- 1/3] times 5/8
I don't understand it thank you if you can help.
well, just work from the inside out
2/3 - 1/3 = 1/3 so, what you have without the brackets is
1/3 * 5/8 = 5/24
To explain why Amy's statement is incorrect, we need to understand the conversion factor between cubic feet and cubic yards.
First, let's define what a cubic yard and a cubic foot are:
- A cubic yard is a unit of volume measurement commonly used in construction and landscaping. It represents a three-dimensional space that measures 1 yard (which is equal to 3 feet) in length, width, and height, resulting in a volume of 27 cubic feet.
- A cubic foot, on the other hand, is a unit of volume that represents a cube-shaped space with sides measuring 1 foot in length.
Now, let's calculate the relationship between cubic feet and cubic yards:
1 cubic yard = 1 yard × 1 yard × 1 yard = 3 feet × 3 feet × 3 feet = 27 cubic feet.
From this calculation, we can see that there are actually 27 cubic feet in a cubic yard, not three as Amy stated.
Therefore, Amy's statement is incorrect because she mistakenly assumed that there are only three cubic feet in a cubic yard when, in fact, there are 27 cubic feet.