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alexgriva [62]
3 years ago
5

A rectangular prism has a volume of 686 cubic units. How many unit cubes would fill the volume of the solid if they were packed

without any gaps or overlaps?
Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
3 0

Answer:

2 unit cubes of 7 units side length can fill the volume of the solid without overlap

Step-by-step explanation:

Volume of a cube is L^3

Let the number of cubes be n

Since the cubes are similar,

then;

nL^3 = 686

nL^3 = 343 * 2

By inspection

L^3 = 343 (since it is a perfect cube and the cube root is 7)

n = 2

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