For this case, we have that by definition, the volume of a rectangular prism is given by:
![V = A_ {b} * h](https://tex.z-dn.net/?f=V%20%3D%20A_%20%7Bb%7D%20%2A%20h)
Where:
It is the area of the base
h: It is the height of the prism
So:
![l = 3 \frac {1} {2} = \frac {6 + 1} {2} = \frac {7} {2} in\\w = 5 \ in\\h = 1 \frac {1} {2} = \frac {2 + 1} {2} = \frac {3} {2} in](https://tex.z-dn.net/?f=l%20%3D%203%20%5Cfrac%20%7B1%7D%20%7B2%7D%20%3D%20%5Cfrac%20%7B6%20%2B%201%7D%20%7B2%7D%20%3D%20%5Cfrac%20%7B7%7D%20%7B2%7D%20in%5C%5Cw%20%3D%205%20%5C%20in%5C%5Ch%20%3D%201%20%5Cfrac%20%7B1%7D%20%7B2%7D%20%3D%20%5Cfrac%20%7B2%20%2B%201%7D%20%7B2%7D%20%3D%20%5Cfrac%20%7B3%7D%20%7B2%7D%20in)
So, we have:
![A_ {b} = \frac {7} {2} * 5\\A_ {b} = \frac {35} {2}\\A_ {b} = 17.5 \ in ^ 2](https://tex.z-dn.net/?f=A_%20%7Bb%7D%20%3D%20%5Cfrac%20%7B7%7D%20%7B2%7D%20%2A%205%5C%5CA_%20%7Bb%7D%20%3D%20%5Cfrac%20%7B35%7D%20%7B2%7D%5C%5CA_%20%7Bb%7D%20%3D%2017.5%20%5C%20in%20%5E%202)
Thus, the volume will be:
![V = 17.5 * \frac {3} {2}\\V = 26.25 \ in ^ 3](https://tex.z-dn.net/?f=V%20%3D%2017.5%20%2A%20%5Cfrac%20%7B3%7D%20%7B2%7D%5C%5CV%20%3D%2026.25%20%5C%20in%20%5E%203)
Answer:
![V = 26.25 \ in ^ 3](https://tex.z-dn.net/?f=V%20%3D%2026.25%20%5C%20in%20%5E%203)
B. No, the rectangle cannot have x = 20 and y = 11 because x + y ≠ 32
Perimeter = 2(l + w)
Perimeter = 64
Assuming: P = 64; w = 11 ; l = ?
64 = 2(l + 11)
64/2 = l + 11
32 - 11 = l
length = 21.
15 x 20x 35 = 10500
Formula = L . W. H
Answer:
i can only see the last graph
Step-by-step explanation:
360000 because you take the 0 off the 10