What is the volume of the container?
10 in 5 in 12 in
The volume of the container is 600 cubic inches.
To find the volume of a rectangular prism (which this container appears to be), you multiply the length by the width by the height.
10 in x 5 in x 12 in = 600 cubic inches
The data below show the numbers of miles driven to work each day by the employees of 15 25 13 15 18 20 22 24
The mean of the data is 19 miles. What is the mean absolute deviation of the data.
To find the mean absolute deviation, follow these steps:
1. Find the absolute deviation of each data point from the mean. Absolute deviation is the absolute value of the difference between each data point and the mean. For example, the absolute deviation of 15 from the mean of 19 is |15 - 19| = 4.
2. Find the mean of the absolute deviations. This is the mean absolute deviation.
Here are the absolute deviations from the mean for each data point:
|15 - 19| = 4
|25 - 19| = 6
|13 - 19| = 6
|15 - 19| = 4
|18 - 19| = 1
|20 - 19| = 1
|22 - 19| = 3
|24 - 19| = 5
To find the mean absolute deviation, we add up these absolute deviations and divide by the number of data points:
(4 + 6 + 6 + 4 + 1 + 1 + 3 + 5) / 8 = 30 / 8 = 3.75
Therefore, the mean absolute deviation of the data is 3.75 miles.
What is the volume of this figure
5 in 5 in 5 in 10 in 10 in 15 in
This figure has the shape of a rectangular prism sitting on top of a rectangular base. The dimensions of the base are 5 in by 10 in, and the height of the prism is 5 in. To find the volume of this figure, we need to find the volume of the base and add it to the volume of the prism.
The volume of the base is:
5 in x 10 in x 0.5 in = 25 cubic inches
(Note that we use half the height of the prism to find the height of the base.)
The volume of the prism is:
5 in x 5 in x 5 in = 125 cubic inches
The total volume of the figure is:
25 cubic inches (for the base) + 125 cubic inches (for the prism) = 150 cubic inches
Therefore, the volume of this figure is 150 cubic inches.
sorry I meant to put all of what I said in feet
No problem! To convert all the dimensions from inches to feet, we divide each value by 12.
5 in = 5/12 ft
10 in = 10/12 ft = 5/6 ft
15 in = 15/12 ft = 5/4 ft
So the dimensions of the figure are:
5/12 ft x 5/6 ft x 5/4 ft for the rectangular base
5/12 ft x 5/12 ft x 5/12 ft for the rectangular prism
To find the volume, we multiply these dimensions together:
Volume of base = (5/12 ft) x (5/6 ft) x (5/4 ft) = 25/144 cubic feet
Volume of rectangular prism = (5/12 ft) x (5/12 ft) x (5/12 ft) = 125/1728 cubic feet
Total volume = Volume of base + Volume of rectangular prism
= 25/144 cubic feet + 125/1728 cubic feet
= 625/5184 + 125/1728 cubic feet
= 9375/46656 cubic feet
Therefore, the volume of the figure is approximately 0.2016 cubic feet.
these are the answers 750 1,225 1,000 875
I apologize for the confusion earlier. It looks like you were asking for the volume of a different figure in your original question. To find the volume of the figure with dimensions 5 ft x 5 ft x 10 ft, 10 ft x 10 ft x 10 ft, and 15 ft x 15 ft x 10 ft, we need to calculate the volume of each rectangular prism and add them together:
Volume of first prism = 5 ft x 5 ft x 10 ft = 250 cubic feet
Volume of second (larger) prism = 10 ft x 10 ft x 10 ft = 1000 cubic feet
Volume of third prism = 15 ft x 15 ft x 10 ft = 2250 cubic feet
Total volume = 250 + 1000 + 2250 = 3500 cubic feet
Therefore, the volume of the figure in cubic feet is 3500 cubic feet. I'm sorry for any confusion I may have caused earlier.