2 answers:
Answer: 1080
Step-by-step explanation:
Answer: Last option.
Step-by-step explanation:
The total amount of concrete in the ramp (
) will be the sum of the volume of the rectangular prism (
) and the volume of the triangular prism (
)
![V_t=V_{rp}+V_{tp}](https://tex.z-dn.net/?f=V_t%3DV_%7Brp%7D%2BV_%7Btp%7D)
The formulas are:
![V_{rp}=lwh](https://tex.z-dn.net/?f=V_%7Brp%7D%3Dlwh)
Where "l" is the lenght, "w" is the width and "h" is the height.
![V_{tp}=\frac{bhl}{2}](https://tex.z-dn.net/?f=V_%7Btp%7D%3D%5Cfrac%7Bbhl%7D%7B2%7D)
Where "l" is the lenght, "b" is the base and "h" is the height.
Substituting, we get:
![V_t=V_{rp}+V_{tp}\\\\V_t=lwh+\frac{bhl}{2}\\\\V_t=(18in)(6in)(6in)+\frac{(8in)(6in)(18in)}{2}\\\\V_t=1,080in^3](https://tex.z-dn.net/?f=V_t%3DV_%7Brp%7D%2BV_%7Btp%7D%5C%5C%5C%5CV_t%3Dlwh%2B%5Cfrac%7Bbhl%7D%7B2%7D%5C%5C%5C%5CV_t%3D%2818in%29%286in%29%286in%29%2B%5Cfrac%7B%288in%29%286in%29%2818in%29%7D%7B2%7D%5C%5C%5C%5CV_t%3D1%2C080in%5E3)
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Hope it helps you!
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