+0

This rectangular prism is intersected by a plane that contains points B, D, H, and F.

0
246
1

This rectangular prism is intersected by a plane that contains points B, D, H, and F.

What is the perimeter of the cross section?

Round to the nearest tenth.

Guest May 7, 2017

#1
+4786
+4

perimeter = BD + DH + HF + FB

BD = HF      and     DH = FB

so...

perimeter = HF + FB  + HF + FB

perimeter = 2HF + 2FB

72 + 82 = HF2   →   HF = $$\sqrt{113}$$     cm

FB = 6     cm

perimeter = 2$$\sqrt{113}$$ + 2(6)

perimeter = 2$$\sqrt{113}$$ + 12

perimeter ≈ 33.3     cm

hectictar  May 7, 2017
Sort:

#1
+4786
+4

perimeter = BD + DH + HF + FB

BD = HF      and     DH = FB

so...

perimeter = HF + FB  + HF + FB

perimeter = 2HF + 2FB

72 + 82 = HF2   →   HF = $$\sqrt{113}$$     cm

FB = 6     cm

perimeter = 2$$\sqrt{113}$$ + 2(6)

perimeter = 2$$\sqrt{113}$$ + 12

perimeter ≈ 33.3     cm

hectictar  May 7, 2017

16 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details