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The dimensions of a triangular prism are shown in the diagram.




What is the volume of the triangular prism in cubic centimeters?

The dimensions of a triangular prism are shown in the diagram What is the volume of the triangular prism in cubic centimeters class=

Respuesta :

Answer:

312 cm³

Step-by-step explanation:

volume of triangular prism = area of triangle x length

area of triangle = 1/2 x base x height

⇒ area of triangle = 1/2 x 8 x 6 = 24 cm²

Therefore, volume of the prism = 24 x 13 = 312 cm³

Volume of triangular prism = Area of x length

→ Area of triangle = [tex]\frac{1}{2}[/tex] × base × height

→ Area of triangle = [tex]\frac{1}{2} \times 8 \times 6 = 24 cm²[/tex]

Volume of the prism = 24 x 13 = 312 cm³