W2056
The oblique prism below has an isosceles right triangle base,
What expression represents the volume of the prism, in
cubic units?
3x3 + x?
o 1 x
0 x² + x²
x3 + 3x?
(x + 2)
(x + 3)
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x³/2 + x² cubic units

Step-by-step explanation:

Find the diagram attached

Volume of a triangular based prism = Base area × height

Base area = Area of the isosceles triangle = 1/2bh

b is the base of the triangle = x

h is the height = x

Base Area = 1/2×x×x

= 1/2x²

= x²/2

Given height of the prism perpendicular to the base = (x+2)

Volume of the prism = x²/2 × (x+2)

Volume of the prism = 1/2(x³+2x²)

Volume of the prism = x³/2 + x² cubic units

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