Question

The oblique prism below has an isosceles right triangle base. An oblique right triangular prism is shown. The triangular bases have 2 sides with a length of x. The length of they hypotenuse is unknown. The distance from the 2 triangular bases is (x 3). The vertical height of the prism is (x 2). What expression represents the volume of the prism, in cubic units? One-halfx3 x2 One-halfx3 Three-halves x2 x3 x2 x3 3x2.

Answer 1

The volume of the geometry that is oblique prism is $\rm 0.5x^3 + x^2$. Then the correct option is A.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Given

The oblique prism below has an isosceles right triangle base.

The triangular bases have 2 sides with a length of x.

The distance from the 2 triangular bases is (x + 3).

The vertical height of the prism is (x + 2).

The volume of the oblique prism will be

$\rm Volume = Area\ of \ triangle * Vertical\ Height \\\\Volume = \dfrac{1}{2} (Base)^2 * Vertical \ Hetght\\\\Volume = \dfrac{1}{2} x^2 (x + 2)\\\\Volume = \dfrac{1}{2} x^3 + x^{2}$

The volume of the oblique prism is $\rm 0.5x^3 + x^2$.

Thus, option A is correct.

More about the geometry link is given below.

brainly.com/question/7558603