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.

Question

Mathematics

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22 February, 01:19

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.

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Answers (1)

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Cheyenne Spence · Answer 1

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