Answer:
The volume of the pyramid is ![1,260\ cm^{3}](https://tex.z-dn.net/?f=1%2C260%5C%20cm%5E%7B3%7D)
Step-by-step explanation:
we know that
The volume of the triangular pyramid is equal to
![V=\frac{1}{3}BH](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7DBH)
where
B is the area of the triangular base
H is the height of the pyramid
step 1
Find the area of the base B
![B=\frac{1}{2}bh](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B1%7D%7B2%7Dbh)
we have
![b=14\ cm](https://tex.z-dn.net/?f=b%3D14%5C%20cm)
![h=18\ cm](https://tex.z-dn.net/?f=h%3D18%5C%20cm)
substitute
![B=\frac{1}{2}(14)(18)=126\ cm^{2}](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B1%7D%7B2%7D%2814%29%2818%29%3D126%5C%20cm%5E%7B2%7D)
step 2
Find the volume
we have
![B=126\ cm^{2}](https://tex.z-dn.net/?f=B%3D126%5C%20cm%5E%7B2%7D)
![H=30\ cm](https://tex.z-dn.net/?f=H%3D30%5C%20cm)
substitute
![V=\frac{1}{3}BH](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7DBH)
![V=\frac{1}{3}(126)(30)=1,260\ cm^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%28126%29%2830%29%3D1%2C260%5C%20cm%5E%7B3%7D)
Answer:
x= - AB-4/5 and No Solution
False for all xER
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
Use the Pythagorean theorem. The sum of the square of the sides is the square of the hypotenuse.
x² +(√200)² = (√300)²
x² = 300 -200
x = √100 = 10
The length of the unknown side is 10 units.
Answer:
The one on the top left should be your answer
Let me know if you got it right!
Answer:
Step-by-step explanation:
light blue, 4,6,8