Examples with solutions for Volume of a Orthohedron: A shape consisting of several shapes (requiring the same formula)

Exercise #1

Shown below is a large cuboid composed of 4 smaller orthohedra equal in size.

AB=4 AB=4

BC=34AB BC=\frac{3}{4}AB

BE=12AB BE=\frac{1}{2}AB

Calculate the volume of the large cuboid.

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Video Solution

Answer

96 cm³

Exercise #2

Given the large cuboid composed of 5 small orthohedra equal in size.

AB=5 BC=4

DB is equal to13 \frac{1}{3} of the junction of the sides AB and CB

Calculate the volume of the large cuboid

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Video Solution

Answer

300 cm³

Exercise #3

The dimensions of the cuboid are 5,6,8 meters

From five orthohedra of the same size we build the body in the drawing.

Calculates the volume of the created body

Video Solution

Answer

1200 1200

Exercise #4

The dimensions of the cuboid are 3,4,7 meters

From three orthohedra of the same size we build the body in the drawing.

Calculates the volume of the created body

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Video Solution

Answer

252 252

Exercise #5

The dimensions of a square-based cuboid are 5 by 7 meters.

The shape shown in the diagram is formed by three orthohedra of the same size.

Calculate the volume of the new shape.

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Video Solution

Answer

525 525

Exercise #6

The dimensions of a square-based cuboid are 4 and 8 meters.

From two orthohedra of the same size we build the bodand in the drawing.

Find the volume of the created bodand

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Video Solution

Answer

256 256

Exercise #7

The dimensions of the prism 1 are 6,7,3 meters.

From two orthohedra of the same size we build the body in the first drawing

The dimensions of the prism 2 are 3,5,4 meters.

From two orthohedra of the same size we build the body in the second drawing.

Glue the two figures together and find the volume of the resulting body.

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Video Solution

Answer

372 372