Gift Giving

Worksheet Description

This worksheet is a collection of volume word problems centered around the theme of gift giving. It includes a variety of three-dimensional shapes such as cubic gift boxes, cylindrical cookie tins, and conical party hats, each associated with a festive scenario. Students are asked to calculate the volume of these objects and the volume of materials needed, like wrapping paper or the maximum number of items that can fit within these volumes, using given dimensions.

The worksheet’s objective is to teach students how to apply mathematical formulas to calculate the volume of various shapes and to understand the practical application of these calculations in everyday situations such as gift wrapping and filling containers. It aims to improve spatial reasoning and enhance problem-solving skills by having students convert real-life scenarios into mathematical problems. This exercise also helps to reinforce the students’ understanding of geometric shapes and the corresponding volume formulas, as well as to practice unit conversions between different measures of volume.

Example Problems

1. You want to wrap a cubic gift box measuring 10 inches on each side. Calculate the volume of wrapping paper needed to cover the entire box in square inches.

2. A cylindrical gift tin with a radius of 4 inches and a height of 6 inches is to be filled with cookies. Determine the volume of cookies that can fit in the tin in cubic inches.

3. A spherical ornament has a diameter of 6 inches. Calculate the volume of the ornament in cubic inches.

4. You want to pack a conical gift box with a radius of 5 inches and a height of 8 inches. Determine the volume of the gift box in cubic inches.

5. A triangular prism gift box has a triangular base with sides of 4 inches, 5 inches, and 6 inches, and a height of 7 inches. Calculate the volume of the gift box in cubic inches.

6. A cylindrical gift container with a radius of 3 inches and a height of 10 inches is to be filled with candy. Determine the volume of candy that can fit in the container in cubic inches.

7. A rectangular gift bag with dimensions 8 inches by 4 inches by 12 inches is to be filled with smaller gift boxes. Calculate the volume of the gift bag in cubic inches.