What is the volume of the prism above ? ?
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Answer:
Diagonal Length = inches
Step-by-step explanation:
The suitcase is a rectangle with one side being 24 and another side being 8.
The diagonal is the line through the middle connecting two opposite corners.
If we draw the diagonal, it creates a triangle with one leg being 24 and another being 8.
The diagonal is the "hypotenuse" of the triangle.
Now, the pythagorean theorem:
leg^2 + another leg^2 = hypotenuse^2
So, we substitute the values known and find the hypotenuse (which is length of the diagonal). Shown below:
We have written the answer in exact form (with radical in simplified term).
We also use the radical property