A board game has dice shaped like octahedrons. Each edge of the dice has length 2 cm, and h = 2√2 cm. What is the volume of each die? Round to the nearest hundredth.

3.73cm³

Step-by-step explanation:

Step one

This problem bothers on the mensuration of solid shapes, a octahedrons

Step two

We know that the volume expression for octahedrons is given as

Volume = √2/3(a)³

Given data

a= 2cm

Substituting our given data we have

V= √2/3(2)³

V= √2/3*8

V= 1.41/3*8

V= 0.47*8

V= 3.73cm³

The volume is 3.76cm³

rounding to the nearest thousandth would be 452,000

step-by-step explanation:

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