Answer:
Part 18) Option D 100 square meters
Part 19) Option A 60 cubic meters
Part 19) Option C. 212 cubic centimeters
Step-by-step explanation:
Part 18) Estimate the surface area of the prism
we know that
The surface area of the prism is equal to
where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
<em>Find the area of the base B</em>
![B=3.5*7=24.5\ m^{2}](https://tex.z-dn.net/?f=B%3D3.5%2A7%3D24.5%5C%20m%5E%7B2%7D)
<em>Find the perimeter of the base P</em>
![P=2*(3.5+7)=21\ m](https://tex.z-dn.net/?f=P%3D2%2A%283.5%2B7%29%3D21%5C%20m)
we have
![H=2.4\ m](https://tex.z-dn.net/?f=H%3D2.4%5C%20m)
substitute
----> exact value
<u><em>Estimate the surface area</em></u>
we have
----> round up
![W=7\ m](https://tex.z-dn.net/?f=W%3D7%5C%20m)
----> round down
<em>Estimate the area of the base B</em>
![B=4*7=28\ m^{2}](https://tex.z-dn.net/?f=B%3D4%2A7%3D28%5C%20m%5E%7B2%7D)
<em>Estimate the perimeter of the base P</em>
![P=2*(4+7)=22\ m](https://tex.z-dn.net/?f=P%3D2%2A%284%2B7%29%3D22%5C%20m)
substitute in the formula
![SA=2(28)+(22)(2)=56+44=100\ m^{2}](https://tex.z-dn.net/?f=SA%3D2%2828%29%2B%2822%29%282%29%3D56%2B44%3D100%5C%20m%5E%7B2%7D)
Part 19) Estimate the volume of the prism
The volume of the prism is equal to
![V=BH](https://tex.z-dn.net/?f=V%3DBH)
we have
![B=3.5*7=24.5\ m^{2}](https://tex.z-dn.net/?f=B%3D3.5%2A7%3D24.5%5C%20m%5E%7B2%7D)
![H=2.4\ m](https://tex.z-dn.net/?f=H%3D2.4%5C%20m)
substitute
----> exact value
<u><em>Estimate the volume</em></u>
we have
----> round up
![W=7\ m](https://tex.z-dn.net/?f=W%3D7%5C%20m)
----> round down
<em>Estimate the area of the base B</em>
![B=4*7=28\ m^{2}](https://tex.z-dn.net/?f=B%3D4%2A7%3D28%5C%20m%5E%7B2%7D)
substitute in the formula
Part 20) The volume of the prism is equal to
![V=BH](https://tex.z-dn.net/?f=V%3DBH)
we have
![H=5.2\ cm](https://tex.z-dn.net/?f=H%3D5.2%5C%20cm)
substitute
----> exact value
<u><em>Estimate the volume</em></u>
we have
----> round up
----> round down
<em>Estimate the area of the base B</em>
![B=6*7=42\ cm^{2}](https://tex.z-dn.net/?f=B%3D6%2A7%3D42%5C%20cm%5E%7B2%7D)
substitute in the formula