Volume of a Triangular Prism = base area x height
Area of a Triangle = 1/2 x length x width
First, we'll find the area of the base triangle. This is quite easy to do because we are given the length and width.
Length = 8
Width = 6
A = 1/2 x 8 x 6
A = 1/2 x 48
A = 24
Next, we'll plug the base area and the height into our formula.
Base area = 24
Height = 8
V = 24 x 8
V = 192
Answer: 192 m^3
Hope this helps!
Answer:
C
Step-by-step explanation:
The solution for r in the given equation is r = √[(3x)/(pi h)(m)]
<h3>How to determine the solution of r in the equation?</h3>
The equation is given as:
m = (3x)/(pi r^(2)h)
Multiply both sides of the equation by (pi r^2h)
So, we have:
(pi r^(2)h) * m = (3x)/(pi r^(2)h) * (pi r^(2)h)
Evaluate the product in the above equation
So, we have:
(pi r^(2)h) * m = (3x)
Divide both sides of the equation by (pi h)(m)
So, we have:
(pi r^(2)h) * m/(pi h)(m) = (3x)/(pi h)(m)
Evaluate the quotient in the above equation
So, we have:
r^(2) = (3x)/(pi h)(m)
Take the square root of both sides in the above equation
So, we have:
√r^(2) = √[(3x)/(pi h)(m)]
Evaluate the square root of both sides in the above equation
So, we have:
r = √[(3x)/(pi h)(m)]
Hence, the solution for r in the given equation is r = √[(3x)/(pi h)(m)]
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That is just multiply the number of choices for each
5 colors
2 lengths of sleaves
3 colors
5*2*3=30
answer is 30
C is answer