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Mathematics
10 January, 14:24
Create 2 prisms with a volume of 300m3.
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Alvaro Mckay
10 January, 14:25
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I will use two different type of prisms:
Triangular prism:
The volume is equal to the area of the triangle multiplied by the heigt of the prism.
So:
300m^3 = A*H
Suppose that the triangle is a triangle rectangle with two equal cathetus of lenght L = 6m, then the area of the triangle is:
A = 6m*6m/2 = 18m^2
300m^3 = 18m^2*H
H = 300/18 m = 16.6m
So this prism is a triangular prism where the area of the triangular face is 18m^2 and the height is 16.6m
Rectangular prism:
Here the volume of the prism is:
V = W*H*L
Where W is the width, H is the heigth and L is the length.
300m = W*H*L
now we can assign values to two of the values and then find the other value.
Suppose W = 30m, H = 5m
300m^3 = 30m*5m*L = 150m^2*L
L = 300/150 m = 2m
So this prism has a width of 30m, a height of 5m and a length of 2m.
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