For this case we have that the volume of the figure is composed of the volume of a prism and the volume of a pyramid:
The volume of the prism is given by:
![V = A_ {b} * h](https://tex.z-dn.net/?f=V%20%3D%20A_%20%7Bb%7D%20%2A%20h)
Where:
: It is the area of the base
h: It's the height
Substituting:![V = 6 * 6 * 6\\V = 216 \ units ^ 3](https://tex.z-dn.net/?f=V%20%3D%206%20%2A%206%20%2A%206%5C%5CV%20%3D%20216%20%5C%20units%20%5E%203)
The volume of the pyramid is given by:
![V = \frac {1} {3} * L ^ 2 * h](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7D%20%2A%20L%20%5E%202%20%2A%20h)
Where:
It is the area of the base
h: It's the height
Substituting:
![V = \frac {1} {3} * 6 ^ 2 * 5\\V = \frac {1} {3} * 36 * 5\\V = 60units ^ 3](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7D%20%2A%206%20%5E%202%20%2A%205%5C%5CV%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7D%20%2A%2036%20%2A%205%5C%5CV%20%3D%2060units%20%5E%203)
We add and we have:
![V = 276 \ units ^ 3](https://tex.z-dn.net/?f=V%20%3D%20276%20%5C%20units%20%5E%203)
ANswer:
Option D
Answer:
47
Step-by-step explanation:
should be the correct answer
Answer: pr (blue) = 1/3 or 0.33
Pr(green without replacement) = 1/2 = 0.5
Step-by-step explanation:
Probability = number of possible outcomes/ number of total outcomes
Total number of outcomes is the sum of all the marbles, given as 9
Pr ( first marble blue) = no of blue marbles/ total number of marbles
= 3/9 = 1/3 or 0.333
Second marble is chosen without replacement- this means that the total outcome has reduced by 1, total number of marbles has reduced to 8 because there was no replacement.
Pr (second marble is green) = number of green marble/ total number of marbles without replacing the first marble
= 4/8 = 1/2 = 0.5
I hope this helps.
1225.
It is also called 35 squared. It is 35X35
The power is how many times you multiply the number by itself.
Answer:
<u>9 feet 2 inches</u>
Step-by-step explanation:
Given :
⇒ Height of SUV = <u>6 feet 4 inches</u>
⇒ Height of box = <u>2 feet 10 inches</u>
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Solving :
⇒ Total Height = Height of SUV + Height of box
⇒ Total Height = 6 feet 4 inches + 2 feet 10 inches
⇒ Total Height = 8 feet 14 inches
* But, 12 inches = 1 feet *
Hence,
⇒ Total Height = 8 feet + 1 foot + 2 inches
⇒ Total Height = <u>9 feet 2 inches</u>