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A rectangular solid has sides of 7 cm, 9 cm, and 11 cm. What is its surface area?
1 answer:
Answer:
Surface area is, 478 square centimeter
Step-by-step explanation:
Surface area (S)of rectangle is given by:
.....[1]
where,
l is the length
w is the width
h is the height of the rectangle respectively.
As per the statement:
A rectangular solid has sides of 7 cm, 9 cm, and 11 cm
⇒ l = 7 cm , w = 9 cm and h = 11 cm
Substitute in [1] we have;
⇒
Therefore, the surface area is, 478 square centimeter
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Step-by-step explanation:
Previous concepts
The empirical rule, also known as three-sigma rule or 68-95-99.7 rule, "is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)".
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From the problem we have the mean and the standard deviation for the random variable X.
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Solution to the problem
For this case we want to find this probability:
And we can use the z score formula to see how many deviation we are within the mean and we got:
And for this case we know that within 3 deviation from the mean we have 99.7% of the values and that's the answer for this case.