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AlexFokin [52]
3 years ago
7

Answer each question and show your work.

Mathematics
1 answer:
Sonja [21]3 years ago
8 0

Answer:

  • See below

Step-by-step explanation:

A)

<u>Each edge of the greater cube has:</u>

  • 1 : 1/6 = 6 times the small cube

<u>Number of small cubes:</u>

  • 6³ = 216 small cubes

B)

The volume of the bigger cube is 1 in³

<u>The volume of each small cube is:</u>

  • 1 : 216 =
  • 1/216 in³
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The scale on a model railroad train set is 3.5 millimeters to 1 foot. If the length of a model car in the set is 150 millimeters
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Answer:

The approximate length of the actual car is <u>43 feet</u>.

Step-by-step explanation:

Given:

The scale on a model railroad train set is 3.5 millimeters to 1 foot. If the length of a model car in the set is 150 millimeters.

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Let the actual length of the car is x.

The length of a model car in the set is 150 millimeters.

As, given the scale on a model railroad train set is 3.5 millimeters to 1 foot.

<em>So, 3.5 millimeters equivalent to 1 foot.</em>

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Now, to get the actual length of the car by using cross multiplication method:

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<em>By using cross multiplying we get:</em>

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<em>Dividing both sides by 3.5 we get:</em>

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