a shipping crate carrying e readers has a length of 19 1/3 feet, a width of 7/23 feet, and a height of 7 5/6 feet. Whaat is the volume of the shipping crate? Show your work.
i know V=lwh , but I'm getting the wrong answer! Please help.
Let's simplify this by changing those awkward fractions to decimals.
19 1/3 = 19.33333
7/23 = 0.3043
7 5/6 = 7.8333
V = 46.0843 cubic feet
it would be better if you showed your work -- as it is, we have no idea where you went wrong.
I assume 7/23 is a typo for 7 2/3, so
v = (19 1/3)(7 2/3)(7 5/6)
= (58/3)(23/3)(47/6)
= (58*23*47)/(3*3*6)
= 62698/54
= 31349/27
= 1161 2/27 ft^3
= 1161.074074...
To find the volume of the shipping crate, we need to multiply its length, width, and height.
Given:
Length = 19 1/3 feet
Width = 7/23 feet
Height = 7 5/6 feet
First, let's convert all the mixed numbers into improper fractions.
Length:
19 1/3 = (19 * 3 + 1) / 3 = 58/3
Height:
7 5/6 = (7 * 6 + 5) / 6 = 47/6
Now we can calculate the volume using the formula V = lwh:
V = (58/3) * (7/23) * (47/6)
Next, we multiply the numerators to find the numerator of the volume:
V = (58 * 7 * 47) / (3 * 23 * 6)
Multiply the numerators and denominators:
V = 19826 / 4146
Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD), which is 98:
V = (19826 ÷ 98) / (4146 ÷ 98)
V = 202 / 42
Finally, divide the numerator by the denominator to get the volume:
V = 4.81 cubic feet
Therefore, the volume of the shipping crate is approximately 4.81 cubic feet.
To find the volume of the shipping crate, you need to multiply its length, width, and height. Let's break down the given measurements into mixed fractions to make calculations easier.
The length of the shipping crate is 19 1/3 feet, which can be written as:
length = 19 + 1/3 = 19 + 1/3 = 19 + 3/3 = 19 + 1 = 20
The width of the shipping crate is 7/23 feet, and it remains the same.
The height of the shipping crate is 7 5/6 feet, which can be written as:
height = 7 + 5/6 = 7 + 5/6 = 7 + 5/6 = 7 + 30/6 = 7 + 5 = 12
Now, you can use the formula for volume: V = length * width * height.
V = 20 * 7/23 * 12
To multiply fractions, multiply the numerators and denominator separately:
V = (20 * 7 * 12) / (23)
V = (1680) / 23
Now, let's divide 1680 by 23 to get the final value of V.
V ≈ 72.8 (rounded to one decimal place)
Therefore, the volume of the shipping crate is approximately 72.8 cubic feet.
If you were getting the wrong answer, please make sure you followed the steps correctly and double-check your calculations to ensure accuracy.