Find the volume of the triangular prism. a) 4 m3 b) 8 m3 c) 12 m3 d) 20 m3

First step is to find the area of the triangle on the end:

area of a triangle =  1/2 x base x height:

base = 4m and height  = 2m

area =  1/2 x 4 x 2 = 4 square meters

now for volume multiply the are of the triangle by the depth which is 5m

volume = 4 x 5 = 20 cubic meters
 the answer is D

(x-2) ( x+2) ( 2x + 5)

Step-by-step explanation:

We will factor the given expression by grouping

The expression is 2x³ + 5x² - 8x - 20

= ( 2x³ + 5x² ) - ( 8x + 20 )

= x² (2x + 5) - 4(2x + 5)  [ distributive property ]

= (a² -4) ( 2x + 5)

= (x-2) (x+2) (2x+5)  [since a² - b² = ( a+b ) (a-b) ]

Then the factored form of the expression will be (x-2) ( x+2) ( 2x + 5)