Math Problem Statement

Kubus ABCD EFGH dengan panjang rusuk 8√3 cm. Jarak biang ACH dan EGB adalah.

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Vectors
Cross Product
Distance Between Planes

Formulas

Cross product formula for vectors: \( \overrightarrow{A} \times \overrightarrow{B} \)
Distance between two planes: \( d = \frac{|c_1 - c_2|}{\sqrt{A^2 + B^2 + C^2}} \)

Theorems

Cross Product Theorem
Distance Between Parallel Planes Theorem

Suitable Grade Level

Grade 10-12