What is the surface area of the right rectangular prism?
1 answer:
<h3>Answer: Choice A) 252 in^2</h3>
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Explanation:
Refer to the diagram below.
The red rectangle is 6 inches by 12 inches, so its area is 6*12 = 72 square inches. There are two of these rectangles (one on top, one on the bottom). That accounts for 2*72 = 144 square inches so far.
The purple rectangles are 3 inches by 12 inches, yielding an area of 3*12 = 36 square inches each. That's another 2*36 = 72 square inches when we account for the front and back purple rectangles.
The green rectangles are 6 inches by 3 inches. Each green rectangle is 6*3 = 18 square inches. Having two of them means we'll add on 2*18 = 36 square inches.
Overall, the entire surface area is the sum of all the areas we calculated: 144+72+36 = 252 square inches, which is choice A
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Alternative Method:
- L = 12 = length
- W = 6 = width
- H = 3 = height
SA = surface area of the rectangular prism
SA = 2*(L*W + L*H + W*H)
SA = 2*(12*6 + 12*3 + 6*3)
SA = 2*(72 + 36 + 18)
SA = 2*(126)
SA = 252 in^2
So we get the same answer either way
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Answer:
A. $1,110
B. 50 units.
Step-by-step explanation:
A. Substitute into the function
for calculate the time in hours required for the worker to produce 18 units:
Now you need to substitute into the function
to calculate the amount in dollars she will be paid for 74 hours:
She will be paid $1,110.
B. To calculate the number of units that the worker needs to produce to be paid $3,030 , you need to substitute into the function
and solve for T (to find the number of hours she requires to work to be paid $3,030)
Now, substitute into
and solve for x, to calculate the number of units she produces in 202 hours:
She would need to produce 50 units to be paid $3,030
The demand that has an 8% probability of being exceeded is 38.1230 .
<h3>What is probability?</h3>Probability is the aspect of mathematics that focus on the occurrence of a random event.
This is calculated below:
The normal random variable having the mean is been given as :
(Mu = 31.8)
The standard deviation is been given as ( sd = 4.5)
Then in making our calculation, we will need to make use of the formular below:
But we know that going with the probability of 0.08
where k = 1.4051
P (Z > 1.4051)
k = 1.4051
we can have the expression for k as
This can be simplified as:
X = 4.5 (1.4051) + 31.8 = 38.1230.
Therefore, the demand that has an 8% probability of being exceeded is 38.1230 .
Learn more about normal distribution on:
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