Volume of a Orthohedron: Subtraction or addition to a larger shape

A cube is attached to an orthohedron, which itself is attached to a square-based orthohedron.

Calculate the volume of the new shape using the data provided.

$540$

A rectangular prism is attached to a cube as shown in the figure.

Calculate the volume of the new shape using the values provided.

$638$

A rectangular prism with a square base is attached to a rectangular prism as shown below.

Calculate the volume of the new shape using the data provided.

$249$

Calculate the volume of the shape below according to the data given in the diagram.

$1056$

Calculate the volume of the shape below based on the data provided.

$540$

A cuboid has a volume of

120 cm3.

Side BK equals 4 cm.

Calculate the area of the triangle ABC.

15 cm²

Given the small cuboid ABKD

inside the large cuboid

Given the small cuboid fits 4 times the large cuboid

BC=4 AB=5 BK=3

What is the volume of the large cuboid minus the small cuboid?

180 cm³

Shown below is a cuboid containing 5 smaller cuboids of equal size.

AB = 4

BE = 2

EK = 5

Calculate the volume of the large cuboid.

200 cm³

50 ml of liquid is poured into a rectangular prism with a volume of 150 cm.

The distance between the water line and the top of the rectangular prism is 3 cm.

What is the value of Y, which represents the height of the water?

1.5 cm