Construction
Worksheet Description
This worksheet is a set of volume word problems themed around construction. It features a range of problems that involve calculating the volume of various construction-related items, such as a concrete mixer truck’s drum, a construction toolbox, and a cylindrical column. Students are provided with the dimensions of these objects and are expected to calculate their volume, applying formulas for cylinders, rectangular prisms, and other geometric shapes.
The worksheet is intended to educate students on calculating the volume of different objects using geometric principles. It aims to strengthen their understanding of volume as it applies to practical applications in construction. Through these problems, students enhance their mathematical skills by solving real-world challenges that construction workers and engineers might face. The exercise also reinforces the use of volume formulas in a context that highlights the relevance of math in everyday work situations.
Example Problems
1. A concrete mixer truck has a cylindrical drum with a radius of 3 feet and a length of 10 feet. Calculate the volume of concrete the drum can hold in cubic feet.
2. A rectangular construction toolbox measures 4 feet in length, 2 feet in width, and 1.5 feet in height. Determine the volume of tools and equipment it can carry in cubic feet.
3. A construction worker needs to fill a cubic trench measuring 6 feet on each side with concrete. Calculate the volume of concrete required in cubic feet.
4. A cylindrical column for a building has a radius of 2 meters and a height of 8 meters. Determine the volume of concrete needed to construct the column in cubic meters.
5. A triangular construction sign has a base of 5 feet, a height of 8 feet, and a thickness of 0.5 feet. Calculate the volume of the sign in cubic feet.
6. A rectangular construction trailer is designed with dimensions 12 feet by 6 feet by 8 feet. Determine the volume of materials it can store in cubic feet.
7. A cylindrical construction pipe has a radius of 6 inches and a length of 15 feet. Calculate the volume of the pipe in cubic feet.