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Varvara68 [4.7K]
3 years ago
8

Answer please and thank you

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
4 0

Answer:

s = 11.97

Step-by-step explanation:

Aleks04 [339]3 years ago
3 0

Answer:

s = 12

s/21 = 8/14

x 21     x 21

s = 12

When finding the missing length of two similar shapes you must compare the given lengths first then compare the missing length (variable) to their corresponding length and solve the equation.

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Answer: 12√2 cm

<u>Step-by-step explanation:</u>

Cube 1: V = 6³ = 216

Cube 2: V = 8³ = 512

Cube 3: <u>V = 10³ = 1000</u>

New Cube: V = 1728

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So, each side of the new cube is 12 cm.

Use Pythagorean Theorem to find the length of the diagonal:

12² + 12² = diagonal²

144 + 144 = diagonal²

288 = diagonal²

√288 = diagonal

12√2 = diagonal


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