ddarby
23.05.2020 •
Mathematics
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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Ответ:
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
Ответ:
Step-by-step explanation:
The question lacks the appropriate diagram. Find the diagram attached.
The triangle is a right angled triangle that is made of of three sides namely the opposite, the adjacent and the hypotenuse (the longest side). According to the diagram, the longest side is the side with length x. To get the side length x, we will use the Pythagoras theorem as shown;
hyp² = opp²+adj²
hyp² = 33²+56²
x² = 1089+3136
x² = 4225
take the square root of both sides
√x² = √4225
x = 65
Hence the unknown side length x is 65