Find the volume of this prism

The total volume of the prism is 840 cm³

Step-by-step explanation:

We can solve this by breaking it down into two rectangular prisms and adding their volume together

We know that they both have a depth of 6 cm

The large bottom one has a width of 15cm

The small top one has a width of 5 cm

The bottom one a height of 8 cm

and the two of them collectively have a height of 12 cm.

With those last two pieces of information, we can say that the smaller one has a height of 12 - 8, or 4 cm

With all of that, we can work out their volumes.

The smaller one will be 6 × 5 × 4 = 6 × 20 = 120

The larger one is 6 × 8 × 15 = 6 × 120 = 720

So the total volume is 120 + 720, or 840 cm³