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densk [106]
2 years ago
15

Find the volume of a rectangular prism with a length of 5 cm, a width of 5 cm and a

Mathematics
1 answer:
adelina 88 [10]2 years ago
7 0

Answer:

500 cubic centimetres

Step-by-step explanation:

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THIRD TIME ASKING FOR HELP PLEASE HELP ME!!!!!!!!!!!!!!!!!!!
Fed [463]
<h3>Answer:  9 units</h3>

========================================================

Explanation:

For now, focus on triangle ABD. This is a right triangle due to BD being an altitude.

Use the pythagorean theorem to find that...

(AD)^2 + (BD)^2 = (AB)^2

(1)^2 + (BD)^2 = (3)^2

1 + (BD)^2 = 9

(BD)^2 = 9-1

(BD)^2 = 8

Normally we would isolate BD itself, but I'll stop short and use that last line instead.

------------------

The triangles ABD and BCD are similar triangles (we can prove this using the AA similarity theorem).

Since we have similar triangles, we can form the proportion shown below

AD/BD = BD/CD

This cross multiplies to

AD*CD = (BD)^2

We know that AD = 1 and (BD)^2 = 8, so,

AD*CD = (BD)^2

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CD = 8

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x = CD+DA

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AC is 9 units long.

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2 years ago
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