Answer:
First box{8} Second box {224}
Step-by-step explanation: I do K12
You need to split the shape up into separate pieces so you can find their areas easily. I have shown this and the working out in the picture.
To find the measurements of the sides of the triangles, I just did 7-6=1 and 14-8=6 to find the missing lengths. So, your answer is 90 units^2
Answer:
Step-by-step explanation:
diameter= 22 mm
Radius is half of diameter
r = 22/2 = 11mm
Area of circle = πr²
= 3.14 * 11*11
= 379.94 mm²
Answer:
The volume of diamond is 20 cubic inches.
Step-by-step explanation:
We are given the following in the question:
Triangular base:
Base = 4 inches
Height = 5 inches
Height of the pyramid = 6 inches
Area of triangular base =
![A = \dfrac{1}{2}\times \text{Base}\times \text{Height}\\\\A = \dfrac{1}{2}\times 4\times 5\\\\A = 10\text{ square inches}](https://tex.z-dn.net/?f=A%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20%5Ctext%7BBase%7D%5Ctimes%20%5Ctext%7BHeight%7D%5C%5C%5C%5CA%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%204%5Ctimes%205%5C%5C%5C%5CA%20%3D%2010%5Ctext%7B%20square%20inches%7D)
Volume of diamond = Volume of pyramid
![V=\dfrac{1}{3}\times \text{Area of triangular base}\times \text{Height}\\\\V=\dfrac{1}{3}\times 10\times 6\\\\V = 20\text{ cubic inches}](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%20%5Ctext%7BArea%20of%20triangular%20base%7D%5Ctimes%20%5Ctext%7BHeight%7D%5C%5C%5C%5CV%3D%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%2010%5Ctimes%206%5C%5C%5C%5CV%20%3D%2020%5Ctext%7B%20cubic%20inches%7D)
Thus, the volume of diamond is 20 cubic inches.