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Suppose you multiplied the cereal box dimensions in a different order: first, ________?

1) length
2) width
3) height
4) volume

1 Answer

6 votes

Final answer:

The order in which box dimensions are multiplied does not change the volume due to the commutative property of multiplication.

Step-by-step explanation:

The question asked by the student pertains to the order in which the dimensions of a cereal box are multiplied to find its volume. Regardless of whether you multiply the length, width, and height in a different order, the result for the volume will remain the same due to the commutative property of multiplication. This property states that the order of factors does not affect the product of a multiplication operation. Therefore, whether you choose to multiply length by width by height or any other order, you will arrive at the same volume calculation.

When multiplying the dimensions of a cereal box in a different order, the order in which you multiply them does not affect the result. This is because multiplication is commutative, meaning that the order of the numbers being multiplied does not change the product.

For example, if the dimensions of a cereal box are length = 10 cm, width = 5 cm, and height = 3 cm, the volume can be calculated by multiplying these dimensions together: length * width * height = 10 cm * 5 cm * 3 cm = 150 cm³.

Regardless of whether you multiply the length, width, and height in a different order (e.g., width * length * height or height * length * width), the result will still be the same: 150 cm³.

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