Answer: No mistakes was made
Step-by-step explanation:
Because It all equals the same as the answer
Answer:
Step-by-step explanation:
jest mutply it
You think I know right? yeah so no way boy I'm so sorry not my intencion
2000 smartphones and 1500 flip phones
4-3=1
1x500=500
500x4=2000
500x3=1500
<u>Given</u>:
The sides of the base of the triangle are 8, 15 and 17.
The height of the prism is 15 units.
We need to determine the volume of the right triangular prism.
<u>Area of the base of the triangle:</u>
The area of the base of the triangle can be determined using the Heron's formula.
![S=\frac{a+b+c}{2}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7Ba%2Bb%2Bc%7D%7B2%7D)
Substituting a = 8, b = 15 and c = 17. Thus, we have;
![S=\frac{8+15+17}{2}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B8%2B15%2B17%7D%7B2%7D)
![S=\frac{40}{2}=20](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B40%7D%7B2%7D%3D20)
Using Heron's formula, we have;
![Area = \sqrt{S(S-a)(S-b)(S-c)}](https://tex.z-dn.net/?f=Area%20%3D%20%5Csqrt%7BS%28S-a%29%28S-b%29%28S-c%29%7D)
![Area = \sqrt{20(20-8)(20-15)(20-17)}](https://tex.z-dn.net/?f=Area%20%3D%20%5Csqrt%7B20%2820-8%29%2820-15%29%2820-17%29%7D)
![Area = \sqrt{20(12)(5)(3)}](https://tex.z-dn.net/?f=Area%20%3D%20%5Csqrt%7B20%2812%29%285%29%283%29%7D)
![Area = \sqrt{3600}](https://tex.z-dn.net/?f=Area%20%3D%20%5Csqrt%7B3600%7D)
![Area = 36](https://tex.z-dn.net/?f=Area%20%3D%2036)
Thus, the area of the base of the right triangular prism is 36 square units.
<u>Volume of the right triangular prism:</u>
The volume of the right triangular prism can be determined using the formula,
![V=\frac{1}{2}A_b h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B2%7DA_b%20h)
where
is the area of the base of the prism and h is the height of the prism.
Substituting the values, we have;
![V=\frac{1}{2}(60\times 15)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B2%7D%2860%5Ctimes%2015%29)
![V=450](https://tex.z-dn.net/?f=V%3D450)
Thus, the volume of the right triangular prism is 450 cubic units.