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In Mathematics / Middle School | 2014-09-02

A carton can hold 1000 unit cubes that measure 1 inch by 1 inch by 1 inch. Describe the dimensions of the carton using unit cubes.

Asked by Kemila1

Answer (3)

The dimensions of the carton are:
10 x 10 x 10 [inch OR unit cubes - it's the same since cubes' dimensions are 1 x 1 x 1 inch)
I attach the explanation below.

Answered by SlowZasob | 2024-06-24

The carton is able to hold 1000 unit cubes. The unit cubes measure 1 inch by 1 inch by 1 inch.
To describe the dimensions of the carton using unit cubes, we can imagine stacking the unit cubes inside the carton.
Since the unit cubes measure 1 inch by 1 inch by 1 inch, we can describe the dimensions of the carton as 10 unit cubes by 10 unit cubes by 10 unit cubes. This means that the carton is 10 inches by 10 inches by 10 inches.

Answered by LivUllmann | 2024-06-25

The dimensions of the carton that holds 1000 unit cubes measuring 1 inch each are 10 inches in length, 10 inches in width, and 10 inches in height, giving it a total volume of 1000 cubic inches. The dimensions can also be expressed as 10 x 10 x 10. This configuration allows the carton to perfectly contain the 1000 unit cubes.
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Answered by SlowZasob | 2024-10-01