   Chapter 31, Problem 5PE

Chapter
Section
Textbook Problem

Verify that a 2.3 × 10 17 kg mass of water at normal density would make a cube 60 km on a side, as claimed in Example 31.1. {This mass at nuclear density would make a cube 1.0 m on a side.)

To determine

If the mass of 2.3×1017kg at normal density would make a cube of side 60 km on a side.

Explanation

Given info:

The mass of water

m=2.3×1017kg

Density of water

ρ=1000 kg/m3

Formula used:

The volume V occupied by the mass m of water at normal density is given by,

V=mρ

The volume of a cube of side a is given by,

V=a3

Calculation:

Calculate the volume occupied by water of mass 2.3×1017kg at normal density.

V=mρ=2.3×1017kg1000 kg/m3=2.3×1014m3

Calculate the value of the side a of a cube which has a volume V

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