“A cube with an edge of 18 cm can be divided into how many smaller cubes with a 3 cm edge?”
"A cube with an edge of 18 cm can be divided into how many smaller cubes with a 3 cm edge?"
Answer: "216"
"To find the number of smaller cubes calculate the volume of the large cube (18³ = 5832 cm³) and the small cube (3³ = 27 cm³). Divide the large cube’s volume by the small cube’s: 5832 ÷ 27 = 216. Alternatively since each edge of the large cube (18 cm) is 18 ÷ 3 = 6 times the small cube’s edge the total number is 6³ = 216. This illustrates geometric division relevant in spatial analysis and material optimization."
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