Respuesta :

Answer:

B) 196 units³

Step-by-step explanation:

The formula for the volume of a prism is V = Bh, where B represents the base area of the prism and h is the height of the prism.

The base of this prism is a triangle.  The area of a triangle is given by A = 1/2bh, where b is the base of the triangle and h is the height of the triangle.  This makes the area A = 1/2(7)(4) = 1/2(28) = 14.

This makes the volume

V = 14(14) = 196 units³

The volume of the prism is 196 units³. The correct option is B.

What is a prism?

A prism is a polyhedron in geometry that has n parallelogram faces that connect the n-sided polygon basis, the second base, which is a translated duplicate of the first base, and the n faces. The bases are translated into all cross-sections that are parallel to them.

The formula for the volume of a prism is V = Bh, where B represents the base area of the prism and h is the height of the prism.

The base of this prism is a triangle.  The area of a triangle is given by A = 1/2bh, where b is the base of the triangle and h is the height of the triangle.

The area of the base is calculated as:-

A = 1/2(7)(4) = 1/2(28) = 14.

The volume of the prism is calculated by the formula below:-

V = Bh

V = 14(14) = 196 units³

Hence, the volume of the prism will be 196 units³. The correct option is B.

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