Aright triangular prism is constructed so that it’s height is equal to the leg length of the base. what expression represents the volume of the prism, in cubic units? a. 1/2x^3 b. 1/2x^2+x c. 2x^3 d. 2x^2+x

Option A is correct.

The volume of prism= cubic units

Explanation:

Volume of the right triangular prism(V) is given by the formula:

; where B is the area of the  base, and h is the height.

Given: The height of the prism(h) = x unit

The base (B) in the given figure of the prism is the right triangle with legs of length x unit and base x unit.

Area of the right angle triangle is given by: (A) = where b is the base and l is the height of the triangle respectively.

Therefore,

B = = square unit

Substitute the value of base and height in the above given formula of volume of prism,

therefore,

Volume of the prism (V) = Bh cubic unit

                                        =

                                        = cubic units

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