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Volume of Compound Shapes Worksheets | Composite Figures

The objective of this collection of pdf worksheets on finding the volume of composite figures is to provide practice in determining the volume of compound solids made up of two or more 3D shapes like prisms, pyramids, spheres, hemispheres, cylinders, and cones. The step-by-step approach begins with counting unit cubes in solid blocks for grade 5, finding volume of L-blocks and moving to adding and subtracting volume of two or more shapes for high-school students.

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Finding the Volume of Solid Blocks | Counting Unit Cubes

The worksheet pdfs are categorized into two levels. The width of the blocks in easy level is unit one, while the moderate level contains solid blocks with varying widths. Count the cubes in each solid block to find the volume.

Easy:

  • easy 1
  • easy 2
  • easy 3
  • Grab them all

Moderate:

  • moderate 1
  • moderate 2
  • moderate 3
  • Grab them all

Finding the Volume of Solid Blocks | Counting Cubes - Different scale

Get your practice in full swing with this batch of worksheet pdfs. Each comes with a different scale. Count cubes, multiply it with the scale to work out the volume of each solid block.

  • pdf 1
  • pdf 2
  • pdf 3

Finding the Volume of L-blocks | Integers

Break each L-block into distinct rectangular prisms, find the volume of each prism and add up their volumes in these printable worksheets available in easy and moderate levels based on the range of numbers.

Easy:

  • easy 1
  • easy
  • easy
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Moderate:

  • moderate 1
  • moderate 2
  • moderate 3
  • Grab them all

Finding the Volume of L-blocks | Decimals

Up your skills in decomposing each L-block, find the volume of each non-overlapping prism by substituting the decimal dimensions in the volume formula. Put the volumes together and that's a job well done!

  • worksheet 1
  • worksheet 2
  • worksheet 3

Volume of Composite Figures | Adding| Level 1 | 2 Solid Shapes

High-school students identify the two geometrical shapes in the compound shape, apply relevant formulas, plug in the dimensions, compute the volume of each disjoint part, and add the volumes.

  • exercise 1
  • exercise 2
  • exercise 3

Volume of Composite Figures | Adding| Level 2 | 2 or 3 Solid Shapes

Make headway with these volume of a composite 3D figure worksheet pdfs featuring figures made up of 2 or 3 solid shapes. Add the volume of each geometric figure making up the composite figure.

  • printable 1
  • printable 2
  • printable 3

Volume of Shaded Region | Subtracting Solid Shapes

Direct students of high-school to find the volume of the whole 3D shape encompassing the other shape(s) and subtract the volume of the basic figure(s) or unshaded parts from it to compute the volume of the shaded region.

  • practice 1
  • practice 2
  • practice 3

The whole batch of worksheets on Volume of Composite Solids can be downloaded instantly.

  • Complete Set

    (U.S. Customary Units - 1.52 MB)(Metric Units - 1.52 MB)