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Dmitrij
16 days ago
9

The triangular bases of a triangular prism have three congruent sides, each measuring 10 centimeters. The height of each of the

triangular bases is approximately 8.7 centimeters. The height of the prism is 15 centimeters. What is the approximate surface area of the prism? 450 cm2 450 cm3 537 cm2 537 cm3
Mathematics
2 answers:
Zina [12.3K]16 days ago
7 0
537 cm2 is the solution. I hope this is useful.
tester [12.3K]16 days ago
5 0
We can establish that [surface area] = 2 * [area of the base] + [perimeter of the base] * height. The area of the base is calculated as 10 * 8.7 / 2, which equals 43.5 cm². The perimeter of the base is computed as 10 * 3, resulting in 30 cm. Given a prism height of 15 cm, the surface area can be defined as [surface area] = 2*[43.5] + [30]*15, which equates to 537 cm². Therefore, the approximate surface area of the prism is 537 cm².
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s signifies the sample standard deviation

n denotes the sample size

Solution to the problem

The mean's confidence interval is derived from the following formula:

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In this instance, the 9% confidence interval corresponds to:

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SE = \frac{1.1572}{1.96}= 0.5904

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