. A board game has dice shaped like octahedrons. Each edge of the dice has length 1 cm and the h= √ 2/ 2 cm. What is the volume

Question

elena-s [515]

3 years ago

11

. A board game has dice shaped like octahedrons. Each edge of the dice has length 1 cm and the h= √ 2/ 2 cm. What is the volume

of each die? Round to the nearest hundredth.

Mathematics

1 answer:

taurus [48] · Answer 1 · 2022-09-09T03:33:32+03:00

Answer:

Step-by-step explanation:

The octahedron is formed from 2 congruent square pyramids.

Since each die has the shape of an octahedron, we would determine its volume by applying the formula for determining the volume of an octahedron which is expressed as

Volume = (a³√2)/3

Where

a represents the length of each edge.

From the information given,

a = 1 cm

Therefore,

Volume = (1³√2)/3 = 0.471 cm³