Respuesta :

xxamari

Answer:

C. x = 3cm

Step-by-step explanation:

The formula for volume of a triangular prism is

V = base * height

x in this case equals height, and the base is the area of the triangular base, which is

A(triangle) = 1/2 b*h

                 = 1/2 7*10 = 35 square centimeters

Plug this back into our formula:

V = base * height

105 = 35x

Solve for x.

105/35 = x

C. x = 3 cm

PunIntended

Answer:

C. 3 cm

Step-by-step explanation:

The volume of a triangular prism is denoted by: [tex]V=Bh[/tex], where B is the base area and h is the height.

Here, the base is actually the triangle, and we can calculate this area by using the formula for a triangle's area: [tex]A=\frac{1}{2} bh[/tex]. Here, b = 10 and h = 7, so:

[tex]A=\frac{1}{2} bh[/tex]

[tex]A=\frac{1}{2} *10*7=5*7=35[/tex] cm squared

Now, the height of the prism is x and we already know the volume is 105, so plug these values in:

[tex]V=Bh[/tex]

[tex]105=35*x[/tex]

x = 105/35 = 3

The answer is C.

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