Respuesta :

sqdancefan

Answer:

5676.16 cm^3

Step-by-step explanation:

The volume of any prism is given by the formula ...

V = Bh

where B is the area of one of the parallel bases and h is the perpendicular distance between them. Here, the base is a triangle, so its area will be ...

B = 1/2·bh

where the b and h in this formula are the base and height of the triangle, 28 cm and 22.4 cm.

Then the volume is ...

V = (1/2·(28 cm)(22.4 cm))·(18.1 cm) = 5676.16 cm^3

_____

You will note that this is half the product of the three dimensions, so is half the volume of a cuboid with those dimensions. Perhaps you can see that if you took another such prism and placed the faces having the largest area against each other, you would have a cuboid of the dimensions shown.

calculista

Answer:

[tex]V=5,676.16\ cm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the triangular prism is equal to

[tex]V=BL[/tex]

where

B is the area of the triangular face

L is the length of the triangular prism

Find the area of the triangular face B

[tex]B=\frac{1}{2}(28*22.4)= 313.6\ cm^{2}[/tex]

we have

[tex]L=18.1\ cm[/tex]

substitute the values

[tex]V=313.6*18.1=5,676.16\ cm^{3}[/tex]

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