Question

Geometry question, Major points!! Please help

Answer 1

C. 3 cm

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=(1)/(2) bh`. Here, b = 10 and h = 7, so:

`A=(1)/(2) bh`

`A=(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.

Answer 2

C. x = 3cm

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