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FrozenT [24]
3 years ago
8

For each of the following, find the percent change in the volume of a cube. The length of the side of the cube was first increas

ed by 50% and then decreased by 20%.
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
7 0

Given here is a cube, whose one side is increased by a given percentage. The task is to find percentage increase in the volume of the cube. Below is the implementation of the above approach:

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If the ratio of the surface areas of two similar geometrical solids is given by 121:36, what is the
BigorU [14]

Answer:

1331:216

Step-by-step explanation:

Given the ratio of the lengths of two similar solids as a:b

The ratio of the surface areas = a^2:b^2

The ratio of the volume = a^3:b^3

We are given that the ratio of the surface areas of two similar geometrical solids is given by 121:36

Therefore:

a^2:b^2=121:36\\\implies a^2:b^2=11^2:6^2\\\implies a:b=11:6

Since the ratio of the lengths is 11:6

The ratio of their volumes = 11^3:6^3

=1331:216

The ratio of the volume of the two similar geometrical solids is 1331:126.

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Both distances 3966 and 4746 were done in 6 hours, so the speeds are:
speed against wind = 3966/6=661 km/h (difference of airplane and wind)
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The speed of airplane is greater than that of the wind, so this is a sum and difference problem.

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What is the first step to solving this equation?
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Answer:

a

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subtract 6 from both sides

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