Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test 2025 - Free AFCT Practice Questions and Study Guide

Question: 1 / 400

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

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.

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