Answer:
840 cm³
Step-by-step explanation:
In the figure attached, the prism is shown.
The prism can be divided into two rectangular prisms, one at the top, with dimensions 5 x 4 (= 12 - 8) x 6 cm, and the other one at the bottom with dimensions 15 x 6 x 8 cm.
Area of the first prism: 5*4*6 = 120 cm³
Area of the second prism: 15*6*8 = 720 cm³
Then, the volume of the complete prism is 120 + 720 = 840 cm³
The required total volume of the complete prism is 840 cm³.
We have to determine, The volume of the prism 5cm,12,cm 15cm,6cm 8cm.
According to the question,
The prism can be divided into two rectangular prisms,
First part at the top, with dimensions [tex]= 5 \times 4 \times( 12 - 8) = 5\times 4 \times 6 cm,[/tex]
And the other part one at the bottom with dimensions [tex]= 15 \times 6 \times 8 cm.[/tex]
Area of the first prism: [tex]5\times4\times6 = 120 cm^{3}[/tex]
Area of the second prism: [tex]15\times6\times8 = 720 cm^{3}[/tex]
Then, The Total volume of the complete prism is 120 + 720 = 840 cm³
Hence, The required total volume of the complete prism is 840 cm³.
For more information about Area click the link given below.
https://brainly.com/question/19305981
