A standard backpack is approximately 30cm x 30cm x 40cm. Suppose you find a hoard of pure gold while treasure hunting in the wil

Question

9 days ago

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A standard backpack is approximately 30cm x 30cm x 40cm. Suppose you find a hoard of pure gold while treasure hunting in the wil

derness. How much mass would your backpack hold if you filled it with the gold? An average student has a mass of 70 kg. How do these values compare?

Chemistry

1 answer:

castortr0y [923] · Answer 1 · 2026-02-24T09:02:17+03:00

Explanation:

The typical dimensions of a standard backpack are 30cm x 30cm x 40cm.

The average mass of a student is 70 kg.

Additionally, the density of gold is 19.3 g/cm³.

Let m represent the mass of the backpack. Therefore,

$\text{density}=\dfrac{\text{mass}}{\text{volume}}\\\\m=d\times V\\\\m=19.3\ g/cm^3\times (30\times 30\times 40)\ cm^3\\\\m=694800\ g\\\\\text{or}\\\\m=694.8\ kg\approx 700\ kg$

When comparing the mass of an average student, who weighs 70 kg, to the mass of a filled backpack, we discover that the backpack holds ten times the mass of the student.