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Talja [164]
4 years ago
6

Surface area of a cube is 96cm squared. Work out the volume of the cube in cubic cm

Mathematics
1 answer:
Semmy [17]4 years ago
5 0
It is missing some parts in the question 
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WILL MARK BRAINLIEST!!! NEED QUICKLY <br> Look at attachment
Nastasia [14]

Answer:

v = 25

Step-by-step explanation:

The crucial information you need to know to solve this is to realize that HI and GH are the same length. However, why they are equal is not immediately obvious.

Both sides of the middle line (HF) are symmetrical, since G and I are the same distance away from the line, and they both lie on a line perpendicular to the middle line.

Note: we know they're the same distance away due to the small red marks in the lines, indicating that they're the same length.

The angles at G and I in the triangles are also the same, as the lines from G and I both meet at H. If they were different angles, they would each hit a different point on the middle line.

Thus, we can conclude that GH and HI are the same length.

Since we know the following:

GH = 4v - 75

HI = v

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4v - 75 = v

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3v = 75

Divide both sides by 3:

v = 25

Answer: v = 25

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