# Detectives

## Worksheet Description

This worksheet is a collection of volume word problems set in the context of detective work. It features items like a magnifying glass, a briefcase, a spyglass, and a flashlight, each with specified dimensions and shapes such as cylinders, rectangular prisms, and cones. Students are tasked with calculating the volume of these detective-themed objects, using the given measurements to determine how much space is within each item.

The worksheet aims to teach students how to calculate the volume of different geometric shapes by applying the appropriate formulas. It enhances students’ ability to solve practical problems using mathematics, strengthens their understanding of geometry, and helps them to visualize the space objects occupy. The detective theme is designed to engage students’ interest and provide a fun narrative that contextualizes the mathematical concepts they are learning.

**Example Problems**

1. A detective’s magnifying glass is shaped like a cylindrical lens with a radius of 2 inches and a thickness of 0.5 inches. Calculate the volume of the magnifying glass in cubic inches.

2. A detective’s briefcase is designed as a rectangular prism with dimensions 18 inches by 12 inches by 6 inches. Determine the volume of case files it can hold in cubic inches.

3. A detective’s spyglass is shaped like a cylindrical tube with a radius of 1.5 inches and a length of 8 inches. Calculate the volume of the spyglass in cubic inches.

4. A detective’s hatbox is a cylindrical container with a radius of 5 inches and a height of 7 inches. Determine the volume of hats it can store in cubic inches.

5. A detective’s trench coat is a rectangular prism with dimensions 42 inches by 24 inches by 3 inches. Calculate the volume of concealed items it can carry in cubic inches.

6. A detective’s flashlight is designed as a cylindrical torch with a radius of 1 inch and a length of 6 inches. Determine the volume of the flashlight in cubic inches.

7. A detective’s notepad is shaped like a rectangular prism with dimensions 5 inches by 3 inches by 0.5 inches. Calculate the volume of notes it can hold in cubic inches.