Answer:
![m=8.6464\ Kg](https://tex.z-dn.net/?f=m%3D8.6464%5C%20Kg)
Step-by-step explanation:
step 1
Find the volume of the trapezoidal prism
The volume of the prism is equal to
![V=BL](https://tex.z-dn.net/?f=V%3DBL)
where
B is the area of the trapezoidal face
L is the length of the prism
Find the area of the base B
we know that
The area of a trapezoid is equal to
![B=\frac{1}{2}[6+10](4)=32\ cm^2](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B1%7D%7B2%7D%5B6%2B10%5D%284%29%3D32%5C%20cm%5E2)
we have
![L=14\ cm](https://tex.z-dn.net/?f=L%3D14%5C%20cm)
substitute
![V=32(14)=448\ cm^3](https://tex.z-dn.net/?f=V%3D32%2814%29%3D448%5C%20cm%5E3)
step 2
Find the mass
Remember that
The density is equal to divide the mass by the volume
so
![D=\frac{m}{V}](https://tex.z-dn.net/?f=D%3D%5Cfrac%7Bm%7D%7BV%7D)
we have
![D=19.3\ g/cm^3](https://tex.z-dn.net/?f=D%3D19.3%5C%20g%2Fcm%5E3)
![V=448\ cm^3](https://tex.z-dn.net/?f=V%3D448%5C%20cm%5E3)
substitute
![19.3=\frac{m}{448}](https://tex.z-dn.net/?f=19.3%3D%5Cfrac%7Bm%7D%7B448%7D)
solve for the mass
![m=19.3(448)=8,646.4\ g](https://tex.z-dn.net/?f=m%3D19.3%28448%29%3D8%2C646.4%5C%20g)
Convert to Kg
Remember that
![1\ Kg=1,000\ g](https://tex.z-dn.net/?f=1%5C%20Kg%3D1%2C000%5C%20g)
therefore
![m=8.6464\ Kg](https://tex.z-dn.net/?f=m%3D8.6464%5C%20Kg)
To make 5 dinner rolls, 1/2 cup of flour is used. How much is needed to make one dinner roll?
0.5 ÷ 5 = 0.1 ( for one dinner roll)
How many cups of flour are needed to make 3 dozen rolls?
3 × 12 = 36
0.1 × 36 = 3.6 (for 3 dozen rolls)
Since they have the same x-coordinate, you can just find the difference between the y-values.
7 - (-6) = 7 + 6 = 13
It'd be a little more complicted if they didn't have the same x or the same y cooridnates.