Question

The oblique prism below has an isosceles right triangle base. what expression represents the volume of the prism in cubic units?

Answer 1

Answer:

$V=(\frac{1}{2}x^{3}+x^{2})\ units^{2}$

Step-by-step explanation:

we know that

The volume of the oblique prism is equal to

$V=BH$

where

B is the area of the base

H is the height of the prism

Find the area of the triangular base

The area B is equal to

$B=\frac{1}{2}x^{2}\ units^{2}$

$H=(x+2)\ units$ ---> the height must be perpendicular to the base

substitute

$V=(\frac{1}{2}x^{2})(x+2)$

$V=(\frac{1}{2})(x^{3}+2x^{2})$

$V=(\frac{1}{2}x^{3}+x^{2})\ units^{2}$

Answer 2

Answer:

ANSWER IS A

Step-by-step explanation: