Examples with solutions for Volume of a Orthohedron: Subtraction or addition to a larger shape

Exercise #1

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.

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Video Solution

Answer

249 249

Exercise #2

Calculate the volume of the shape below based on the data provided.666101010555888444333

Video Solution

Answer

540 540

Exercise #3

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

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Video Solution

Answer

1056 1056

Exercise #4

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.

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Video Solution

Answer

540 540

Exercise #5

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

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

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Video Solution

Answer

638 638

Exercise #6

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.

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Video Solution

Answer

200 cm³

Exercise #7

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?

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Video Solution

Answer

180 cm³

Exercise #8

A cuboid has a volume of

120 cm3.

Side BK equals 4 cm.

Calculate the area of the triangle ABC.

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Video Solution

Answer

15 cm²

Exercise #9

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?

Video Solution

Answer

1.5 cm