Volume of Composite Solids Worksheet​

Volume of Composite Solids Worksheet


Grade Levels
7th to 9th Grade

Focused Skills
Volume Calculation of Composite Solids, Geometric Formula Application, Unit Conversion and Consistency, Problem-Solving and Critical Thinking, Spatial Reasoning, Attention to Detail

File Format
Printable PDF and Online Math Quiz

Volume of Composite Solids Word Problems – Try Interactive Worksheet

15 Word Problems
Collect 15 Points

A swimming pool is shaped like a rectangular prism with dimensions 8 m by 6 m by 4 m, and a half-cylinder covers the top, with the same 6 m width and a radius of 3 m. What is the total volume of the pool?

A large planter consists of a rectangular box with dimensions 10 cm by 5 cm by 8 cm, and a half-cylinder with a radius of 5 cm and a length of 10 cm on top. What is the total volume of the planter?

A statue is composed of a cylindrical base with a radius of 4 m and a height of 8 m, with a rectangular block 6 m high, 5 m long, and 3 m wide on top. What is the total volume of the statue?

A punch bowl is formed from a hemisphere with a radius of 6 cm, sitting on top of a cylinder with the same radius and a height of 10 cm. What is the total volume of the punch bowl?

A gift box has a rectangular base with dimensions 10 cm by 8 cm by 4 cm. A pyramid with a 10 cm by 8 cm base and a height of 6 cm is placed on top. What is the total volume of the box?

A balloon decoration is made of a cylinder with a height of 20 cm and a radius of 5 cm. A half-sphere with the same radius is attached to the top. What is the volume of the entire decoration?

John builds a storage bin by attaching a hemisphere with a radius of 5 m on top of a rectangular prism measuring 8 m by 6 m by 10 m. What is the volume of the composite solid?

Sarah has a composite toy consisting of a cube with side lengths of 4 cm and a hemisphere with a radius of 2 cm on top. What is the total volume of the toy?

A water tank is shaped like a rectangular prism with a base of 4 m by 3 m and a height of 6 m. A half-cylinder with a radius of 2 m and a length of 4 m is attached on top. What is the total volume of the tank?

A cylindrical candle holder has a base cylinder with a height of 5 cm and a radius of 4 cm. A cone with the same radius and a height of 6 cm sits on top. What is the volume of the candle holder?

A rocket model consists of a cylinder with a height of 20 cm and a radius of 3 cm, topped with a cone with the same radius and a height of 6 cm. What is the total volume of the rocket?

Maria has a cylinder with a height of 10 cm and a radius of 3 cm. She places a cone with the same base radius and a height of 4 cm on top of the cylinder. What is the total volume of the composite solid?

A concrete block is shaped like a cube with side lengths of 2 m, and a half-cylinder with a radius of 1 m and a height of 4 m is attached to the top. What is the total volume of the block?

A metal rod is composed of a cylinder with a height of 10 cm and a radius of 2 cm, and a hemisphere with the same radius on each end. What is the total volume of the rod?

A silo is made of a cylindrical base with a radius of 6 m and a height of 12 m, with a conical roof that has a height of 5 m. What is the total volume of the silo?


 

About Volume of Composite Solids Worksheet​

The Volume of Composite Solids Worksheet is a comprehensive tool designed for 7th—to 9th-grade students. It helps them deepen their understanding of volume calculation for various composite shapes. The worksheet features 20 engaging word problems crafted in story format to encourage real-world problem-solving skills. Students will be tasked with finding the total volume of objects composed of multiple geometric shapes like cylinders, cones, hemispheres, prisms, and cubes.

This worksheet is not just about learning geometric formulas. It’s about applying these formulas to real-world problems. Students will practice combining volumes of individual solids to solve more complex, real-world problems. The worksheet also emphasizes unit conversion and consistency, ensuring that students can apply the correct units and formulas in their calculations.

In addition to geometric applications, students will hone their problem-solving and critical-thinking abilities as they analyze and solve each problem. The word problems are designed to improve spatial reasoning, as students visualize how different 3D shapes interact and combine into one larger object. Finally, the worksheet promotes attention to detail, as students must carefully extract relevant information from each word problem and apply it correctly.

This worksheet is a valuable resource for students in the targeted grade range. It reinforces the geometry skills taught in class, providing both practice and challenge. By working through these problems, students will not only master essential formulas but also develop the critical thinking skills required for higher-level mathematics. In addition to the downloadable PDF format, users can also attempt the problems via an interactive online worksheet/quiz, making it an engaging and flexible learning tool.

More Math Worksheets