Question

Geometry question, Major points!! Please help

Answer 1

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

Answer 2

Answer:

C. 3 cm

Step-by-step explanation:

The volume of a triangular prism is denoted by: $V=Bh$, 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: $A=\frac{1}{2} bh$. Here, b = 10 and h = 7, so:

$A=\frac{1}{2} bh$

$A=\frac{1}{2} *10*7=5*7=35$ cm squared

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

$V=Bh$

$105=35*x$

x = 105/35 = 3

The answer is C.