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A right rectangular prism has dimensions such that AB = 8 cm, BC = 10 cm, and height = 4.5 cm. M is the midpoint of CD. Calculate...

Mathematics

ScanSolve AI Answer

Here's a step-by-step solution for the prism problem:

First, let's establish the dimensions of the prism based on the given information and diagram.
The prism is a right rectangular prism (cuboid).

  • ABCD is the top rectangular face.
  • AB = 8 cm.
  • BC = 10 cm.
  • M is the midpoint of CD, so CM = MD = 82=4\frac{8}{2} = 4 cm.
  • Points E and F are directly below C and B respectively, and CF = 4.5 cm. This implies that the height of the prism is 4.5 cm. So, CE = BF = 4.5 cm. Also, the vertical edges from A and D to the base are
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