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These grade 8 volume of composite solids worksheets are made for Grade 8 learners, with four difficulty levels so you can match the practice to the child.

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Grade 8 Volume of composite solids Worksheets

Grade 8 practice: Split the solid into rectangular prisms, find each volume, then add them. Choose a level below to generate a fresh set of questions.

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Understanding volume of composite solids

Volume of composite solids asks learners in Grades 6 to 8 to find the volume of a solid made from more than one rectangular prism by splitting it into separate boxes, finding each volume, and adding them. This decompose-and-add method handles L-shaped and stepped solids that have no single formula, and it depends on first working out any missing dimensions from the labelled ones.

For example, a solid split into a 4×3×2 box (volume 24) and a 2×2×2 box (volume 8) has total volume 24 + 8 = 32 cubic units. A common mistake is double-counting the region where the two prisms join, or mismatching a missing edge length. Tip: draw clear dividing lines so each piece is a full rectangular prism, find any unknown edge by subtracting known lengths, compute each volume, then add — and keep the answer in cubic units.

Sample volume of composite solids questions

These examples come from the Easy setting. Generate a worksheet for a complete page with space for working.

A solid is made of two rectangular prisms. One measures 4 cm by 4 cm by 2 cm. The other measures 4 cm by 2 cm by 2 cm. Find the total volume.
A solid is made of two rectangular prisms. One measures 5 cm by 2 cm by 2 cm. The other measures 3 cm by 2 cm by 2 cm. Find the total volume.
A solid is made of two rectangular prisms. One measures 3 cm by 2 cm by 2 cm. The other measures 3 cm by 2 cm by 3 cm. Find the total volume.
A solid is made of two rectangular prisms. One measures 3 cm by 3 cm by 2 cm. The other measures 4 cm by 3 cm by 3 cm. Find the total volume.

Check the sample answers

48 cm³
32 cm³
30 cm³
54 cm³

Practice focus

Split the solid into rectangular prisms, find each volume, then add them. Read each instruction carefully, show your method, and use the answer key after attempting the question.

Grade 8 Volume of composite solids Worksheets

Understanding volume of composite solids

Sample volume of composite solids questions

Practice focus

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