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Mathematics 52 Online
OpenStudy (anonymous):

A cube of side length 10 cm is intersected by a plane perpendicular to the base as shown.

OpenStudy (anonymous):

OpenStudy (anonymous):

Part 1: Describe the shape of the cross section formed by the cube and the intersecting plane. Part 2: Find the perimeter of the cross section. Show your work.

OpenStudy (anonymous):

triangle

OpenStudy (anonymous):

Since you know it's a cube, you know all of the sides are 10cm long. So one leg of the triangle must be 10-7cm long and the other 10-6 cm long.

OpenStudy (anonymous):

You can just look at part one and see that the volume is a "triangular prism"

OpenStudy (anonymous):

The second part involves finding the lengths of the legs and obtaining a perimeter, which as I've described is the second part.

OpenStudy (anonymous):

3cm long ? and 4 cm long?

OpenStudy (anonymous):

That's correct. You can either use pythagorean theorem or you know of the "special triangle" to obtain the length of the other side.

OpenStudy (anonymous):

i have no idea what your trying to say

OpenStudy (anonymous):

You now know two lengths of the triangle. You must find the other one. You can use the pythagorean theorem. However, there is a special right triangle with just those lengths. The perimeter of a triangle is simply the lengths of the sides added up.

OpenStudy (anonymous):

whats the pythagorean theorem

OpenStudy (anonymous):

a2 + b2 = c2

OpenStudy (anonymous):

256?

OpenStudy (anonymous):

That is the pythagorean theorem. "C" is the hypotenuse, which is what you need.

OpenStudy (anonymous):

256?

OpenStudy (anonymous):

That is incorrect.

OpenStudy (anonymous):

Remember that one side (A) = 3. The other side (B) = 4. Now find C.

OpenStudy (anonymous):

3^2=9

OpenStudy (anonymous):

4^2=16

OpenStudy (anonymous):

9+16=25

OpenStudy (anonymous):

25^2=625

OpenStudy (anonymous):

No no, take the square ROOT of 25. Not the SQUARE of 25.

OpenStudy (anonymous):

5

OpenStudy (anonymous):

You got it. That's a 3:4:5 right triangle. You can remember that one, might make life easier one day. Add those up and thats your triangular perimeter.

OpenStudy (anonymous):

No, your sides are 3, 4, and 5. Add those up. That is your perimeter.

OpenStudy (anonymous):

12

OpenStudy (anonymous):

That is correct.

OpenStudy (anonymous):

kthanks

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