Question

Calculate the volume of this prism

Answer 1

Answer:

  800 cm³

Step-by-step explanation:

The volume is the product of the base area and the "height" of the prism. Here, the base can be considered to be a 10 cm × 12 cm rectangle with a 4 cm × 5 cm cutout. Its area will be ...

  A = (10 cm)(12 cm) -(4 cm)(5 cm) = 120 cm² -20 cm² = 100 cm²

The product of this base area and the 8 cm height of the prism is ...

  V = Bh = (100 cm²)(8 cm) = 800 cm³

The volume of the prism is 800 cm³.