Respuesta :

frika

Answer:

C. 456 cubic units

Step-by-step explanation:

The bases of this prism are two right trianles with legs 6 units and 8 units. The area of the base is

[tex]A_{base}=\dfrac{1}{2}\cdot \text{leg}_1\cdot \text{leg}_2\\ \\A_{base}=\dfrac{1}{2}\cdot 6\cdot 8=24\ un^2.[/tex]

The volume of the prism is

[tex]V=A_{base}\cdot H[/tex]

The height of the prism is 19 units, so

[tex]V=24\cdot 19=456\ un^3[/tex]

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