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...

April 20, 2026Mathematics

ScanSolve AI Answer

April 20, 2026

Answer

8 cm.

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 = $\frac{8}{2} = 4$ 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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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.

Asked on April 20, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 20, 2026

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 = (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

Asked on April 20, 2026Mathematics

ScanSolve AI AnswerAnswered on April 20, 2026

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 = (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