Answer:
[tex] V_{prism} = 222\: cm^3 [/tex]
Step-by-step explanation:
For bottom portion:
l = 8 cm, w = 6 cm, h = 2 cm
[tex] V_1= lwh = 8*6*2= 96 \: cm^3 [/tex]
For top portion:
l = 6 cm, w = 3 cm, h = 9 - 2 = 7 cm
[tex] V_2= lwh = 6*3*7= 126 \: cm^3 [/tex]
[tex] V_{prism} = V_1 + V_2[/tex]
[tex] V_{prism} = 96 + 126[/tex]
[tex] V_{prism} = 222\: cm^3 [/tex]
Another way:
[tex] V_{prism} = 8*6*9-6*5*7[/tex]
[tex] V_{prism} = 432-210[/tex]
[tex] V_{prism} = 222\: cm^3 [/tex]
