Answer:
The total volume of the prism is 378 mm³.
Step-by-step explanation:
The prism is made up of cubes that is
In this figure,the prism is made up of four different cube that is of volume as 9 mm³, 2 mm³, 6 mm³ and 4 mm³.
Therefore, it is only possible to have four different cube in height only.
So we will calculate the volume layer by layer.
First for 9 mm³
therefore, in first layer we have cube. So total volume for 18 cube will be
For 2 mm³
therefore, in first layer we have cube. So total volume for 18 cube will be
For 6 mm³
therefore, in first layer we have cube. So total volume for 18 cube will be
For 4 mm³
therefore, in first layer we have cube. So total volume for 18 cube will be
\ mm³