AFCT Arithmetic Reasoning Practice Test 2025 – Comprehensive Exam Prep

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How many dice can fit in a box measuring 16cm x 10cm x 8cm if each die measures 1 cm x 1 cm x 1 cm?

1,000 dice

1,200 dice

1,280 dice

To determine how many 1 cm x 1 cm x 1 cm dice can fit into a box with dimensions of 16 cm x 10 cm x 8 cm, we start by calculating the volume of the box and the volume occupied by each die.

First, compute the volume of the box:

- The volume of the box = length × width × height

- Volume = 16 cm × 10 cm × 8 cm = 1,280 cubic centimeters.

Next, calculate the volume of a single die:

- The volume of each die = 1 cm × 1 cm × 1 cm = 1 cubic centimeter.

Since each die occupies 1 cubic centimeter of space, the number of dice that can fit into the box is simply the volume of the box divided by the volume of one die:

- Number of dice = Volume of the box / Volume of one die = 1,280 cm³ / 1 cm³ = 1,280 dice.

Thus, the maximum number of 1 cm \( \times \) 1 cm \( \times \) 1 cm dice that can fit inside the box, without any wasted space, is 1,280. This is the reason why the

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1,500 dice

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