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Dmitry [639]
3 years ago
12

A cube has sides of length 2 meters. Explain what happens to the volume of the cube if the length of the sides is doubled.

Mathematics
2 answers:
Bas_tet [7]3 years ago
8 0
Volume of a cube with side lengths of 2, 2, and 2. 
2³=8 m³


Volume of a cube with 4,4, and 4
4³=64 m³

Conclusion: The volume would be squared, or square rooted, depending on which way you are going.
mamaluj [8]3 years ago
7 0
If the length of the sides are doubled, the volume of the cube is 8 times the original.


Explanation:
The formula for volume of a rectangular prism is v = lxwxh (l is length, w is width and h is height.) So first we find the volume of the cube, 2x2x2 = 8. Now, we double the sides, so they become 4 meters. Then we find volume of the new cube, 4x4x4 = 64. To find the relationship between the volume of the new cube and the volume of the original cube, we divide 64 by 8, which gives us 8. Therefore, the volume of the new cube is 8 times the volume of the original cube
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Step-by-step explanation:

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8 0
2 years ago
The measure of the exterior angle of the triangle is what degree?
RSB [31]

Answer:

92°

Step-by-step explanation:

By exterior angle theorem:

(2x - 2) \degree = x \degree + 45 \degree \\  \\ (2x - 2 - x) \degree = 45 \degree \\  \\ (x - 2) \degree = 45 \degree \\  \\ (x - 2)  = 45 \\  \\ x = 45 + 2 \\  \\ x = 47 \\  \\ (2x - 2) \degree  = (2 \times 47 - 2)\degree  \\  \\ (2x - 2) \degree  = (94 - 2)\degree   \\  \\ (2x - 2) \degree  = 92\degree   \\  \\ measure  \: of  \: the  \: exterior \:  angle \\  = 92 \degree

4 0
3 years ago
Can someone help me please
yuradex [85]
I don't know what to do
4 0
3 years ago
Find
Westkost [7]

Answer:

dy/dx = -b/a cot α

Step-by-step explanation:

x² / a² + y² / b² = 1

Take derivative with respect to x.

2x / a² + 2y / b² dy/dx = 0

2y / b² dy/dx = -2x / a²

dy/dx = -b²x / (a²y)

Substitute:

dy/dx = -b²a cos α / (a²b sin α)

dy/dx = -b cos α / (a sin α)

dy/dx = -b/a cot α

8 0
3 years ago
The triangles are similar. <br> What is the value of x?<br><br> x =
saveliy_v [14]

Answer:

x = 23

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{39}{x-10} = \frac{36}{12} = \frac{15}{5} = 3

multiply both sides by (x - 10)

3(x - 10) = 39 ( divide both sides by 3 )

x - 10 = 13 ( add 10 to both sides )

x = 23




8 0
3 years ago
Read 2 more answers
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