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KIM [24]
3 years ago
8

A rectangular prism is 3 inches long, 4 inches wide and 8 inches tall. What is the length of its

Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0
The longest diagonal is about 8.9 inches. The longest length is going to be between the two longest lengths, the width and the height. The Pythagorean theorem is a^2 + b^2 = c^2. Plug the width and height into a and b of the Pythagorean equation. (4)^2 + (8)^2 = c^2. Now simplify the equation. 16 + 64 = c^2. 80 = c^2. Now find the square root of each side. (sqrt)80 = (sqrt)c^2. If you simplify this, you will find that c is equal to about 8.9 inches.
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Step-by-step explanation:

Let the number we are seeking be "x", thus we can write the equation as:

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