Respuesta :

Answer:

D.

Step-by-step explanation:

Volume of a prism is (area of base)(height)

area of a triangle is .5(base)(height)

.5(8)(6) = 24

24(19) = 456

The volume of the given triangular prism is 456 units³.

What is a triangular prism?

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

The volume of a triangular prism is the product of the area of its triangular base and its height. Therefore, the volume of the prism will be,

The volume of Prism = Area of triangle × Height

                                   = (0.5 × 6units × 8units) × 19 units

                                   = 456 units³

Hence, the volume of the prism is 456 units³.

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