Question

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

A

Explanation:

Answer 2

V =
`1/2 x^(3)` +
`x^(2)`

Explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

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

My answer:

Given that:

The oblique prism below has an isosceles right triangle base and the length of the base is x

=> the area of the base: 1/2 *x*x = 1/2
`x^(2)`

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

=> The volume of the oblique prism is:

V = the base area * the vertical height

<=> V = 1/2
`x^(2)` (x + 2)

<=> V =
`1/2 x^(3)` +
`x^(2)`

We choose A