Answer: 
Step-by-step explanation:
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The complete exercise is attached.</h3>
You can observe in the picture attached that the box is a rectangular prism.
The volume of a rectangular prism can be found with this formula:

Where "l" is the length, "w" is the width and "h" is the height.
You know that the lenght of each side of those cubes is 1 centimeter. Therefore, you can multiply the number of cubes on each side of the box by 1 centimeter in order to find the lenght, the width and the height of the box:
Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:

Finally, evaluating, you get that the volume of the box is:

Answer:
a = 9
b = 19
Step-by-step explanation:
DO B FIRST
The mean is the average of all the terms (numbers) in the sequence
To find the average you find the sum of the terms and divided the sum by the number of terms there are.
The mean times the number of terms equals the sum of all the terms subtract the terms that you know from the sum to get A
a = 17(10)-7-12-15-17-19-20-22-24-25
a = 170-161
a = 9
The median is found by taking the average of the two middle terms
Our middle terms are 17 and B
the median times 2 equals the sum of the two terms and then subtract the term you know from the sum
b = 18(2)-17
b = 36-17
b = 19
Answer:
Step-by-step explanation:
Given is a function in x as

We have to find the zeroes of the function
Since this is a cubic function this function has three zeroes.
Let us try to factorise this function by grouping two terms together.

=
Equate each factor to 0 to find zeroes as

Calculate the volume of sand, the cone will be completely filled and the cylinder will have sand up to the 30 mm level.
Volume of sand will = the volume of the cone:
= 1/3 * pi * (6 mm)^2 * 15
= 1/3 * pi * 36 * 15 =180 pi cubic mm
the cylinder will have a volume of sand equal to:
= pi * (6 mm)^2 * 30 mm
= pi * 36 sq mm * 30 mm
= 1080 pi cubic mm
The total sand is the sum:
= 1080 pi cubic mm +180 pi cubic mm
= 1260 pi cubic mm.
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Answer:
8 < x < 34
Step-by-step explanation:
ab = 13, ac = 21, bc = x
The longest side of a triangle must be less than the sum of the other two sides.
If 21 is the longest side:
21 < 13 + x
8 < x
If x is the longest side:
x < 13 + 21
x < 34
Therefore, 8 < x < 34.