Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

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Improve your arithmetic reasoning skills for the Armed Forces Classification Test. Prepare with a variety of questions and detailed explanations to ace your exam!

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Which is the total number of dice you can fit in a box measuring 16 cm long, 10 cm wide, and 8 cm high, if each die measures 1 cm on an edge?

800
1280
960
1200

The correct answer is: 1280

To determine the total number of dice that can be fitted into a box, you first need to calculate the volume of the box and the volume of a single die. The box measures: - Length = 16 cm - Width = 10 cm - Height = 8 cm The volume of the box is calculated using the formula for the volume of a rectangular prism: Volume of the box = Length × Width × Height = 16 cm × 10 cm × 8 cm = 1280 cm³. Each die has dimensions of 1 cm × 1 cm × 1 cm, making the volume of a single die: Volume of one die = 1 cm³. To find the total number of dice that can fit into the box, you divide the volume of the box by the volume of a single die: Total number of dice = Volume of the box ÷ Volume of one die = 1280 cm³ ÷ 1 cm³ = 1280. Thus, the total number of dice that can fit in the box is 1280.