Using the volume for rectangular prisms, the volume of the chimney is: 216 in.³.
<h3>What is the Volume of a Rectangular Prism?</h3>
The volume of a rectangular prism = (length)(width)(height).
<h3>How to Find the Volume of Composite Shapes?</h3>
The Chimney in Emily's house is a composite solid consisting of two rectangular prism. To find the volume, we have to decompose the figure into two rectangular prisms. Then solve for the volume of each before finding the total volume.
Volume of the bigger rectangular prism = (length)(width)(height) = (4)(4)(12)
Volume of the bigger rectangular prism = 192 in.³
Volume of the smaller rectangular prism = (length)(width)(height) = (4)(2)(3)
Volume of the smaller rectangular prism = 24 in.³
The volume of the chimney = volume of the two rectangular prism
The volume of the chimney = 192 + 24
The volume of the chimney = 216 in.³
Learn more about the volume of rectangular prism on:
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Using the t-distribution, it is found that:
a. The <u>margin of error</u> is of 4.7 homes.
b. The 98% confidence interval for the population mean is (19.3, 28.7).
The information given in the text is:
- Sample mean of
. - Sample standard deviation of
. - Sample size of
.
We are given the <u>standard deviation for the sample</u>, which is why the t-distribution is used to solve this question.
The confidence interval is:
The margin of error is:
Item a:
The critical value, using a t-distribution calculator, for a two-tailed <u>98% confidence interval</u>, with 23 - 1 = <u>22 df</u>, is t = 2.508.
Then, the <em>margin of error</em> is:
Item b:
The interval is:
The 98% confidence interval for the population mean is (19.3, 28.7).
A similar problem is given at brainly.com/question/15180581
Answer is y = 3sin2(x - pi/4).
Answer:
Step-by-step explanation:
No of cubes that can fit into rectangular prism = <u> Volume of rectangular prism</u>
Volume of cube
Find the volume of rectangular prism and divide that by the volume of cube
That is the final answer to this question
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