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3 years ago

What's the volume of this rectangular prism?

Mathematics

2 answers:

Mademuasel [1]3 years ago

6 0

Answer: 40 cubic centimeters.

Step-by-step explanation:

We know that the volume of a rectangular prism = Length x width x height

In the given picture , the dimension of the rectangular prism is 4 cm by 5 cm by 2 cm.

i.e. Length =4 cm , width = 5 cm , and height = 2 cm.

Now , by using the formula , we have

Volume of rectangular prism = $4\times5\times2\ cm^3$

$= 40\ cm^3$

Hence, the volume of this rectangular prism is 40 cubic centimeters.

Snowcat [4.5K]3 years ago

5 0

1. Find the length, width, and height of the rectangular prism.
2. Multiply the length, width, and height.
3. Write the answer in cubic units. For example: 60 inches3.

The length is the longest side of the flat surface of the rectangle on the top or bottom of the rectangular prism.

Ex: Length = 5 in.

The width is the shorter side of the flat surface of the rectangle on the top or bottom of the rectangular prism. Ex: Width = 4 in.The height is the part of the rectangular prism that rises up. Imagine that the height is what stretches up a flat rectangle until it becomes a three-dimensional shape. Ex: Height = 3 in.You can multiply them in any order to get the same different result. The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in. * 4 in. * 3 in. = 60 in.Since you're calculating volume, you're working in a three-dimensional space. Just take your answer and state it in cubic units. Whether you're working in feet, inches, or centimeters, you should state your answer in cubic units. 60 will become 60 in3.

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Answer:

$9 is the part, 15% is the percent, and $60 is the whole.

Step-by-step explanation:

$9 is %15 of the whole. This means $9 is the part, 15% is the percent, and the whole is the total cost of the shoes after the discount. The total cost of the shoes after the discount is 60.

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3 years ago

Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit

kondor19780726 [428]

Answer:

The equation of the regression line is:

$y~=~234.56158 ~-~ 2.95835 \cdot x$

Step-by-step explanation:

The Least Squares Regression Line is the line that makes the vertical distance from the data points to the regression line as small as possible. It’s called a “least squares” because the best line of fit is one that minimizes the variance.

We have the following data:

$\begin{array}{c|ccccccccc}X&50&55&50&79&44&37&70&45&49\\Y&152&48&22&35&43&171&13&185&25\end{array}$

To find the line of best fit for the points:

Step 1: Find $X\cdot X$ and $X\cdot Y$ as it was done in the table

Step 2: Find the sum of every column:

$\sum{X} = 479 ~,~ \sum{Y} = 694 ~,~ \sum{X \cdot Y} = 32784 ~,~ \sum{X^2} = 26897$

Step 3: Use the following equations to find a and b:

$\begin{aligned} a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 694 \cdot 26897 - 479 \cdot 32784}{ 9 \cdot 26897 - 479^2} \approx 234.56158 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 9 \cdot 32784 - 479 \cdot 694 }{ 9 \cdot 26897 - \left( 479 \right)^2} \approx -2.95835\end{aligned}$

Step 4: Assemble the equation of a line

$\begin{aligned} y~&=~a ~+~ b \cdot x \\y~=~234.56158 ~-~ 2.95835\cdot x\end{aligned}$

The graph of the regression line is:

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4 years ago

3. Over what interval is the function decreasing?

vredina [299]

The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

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3 years ago

Read 2 more answers

What is the product of (-a+3)(n+4)

san4es73 [151]

Answer:

-an - 4a + 3n + 12

Step-by-step explanation:

(-a + 3)(n + 4)

= -an - 4a + 3n + 12

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3 years ago