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Volume of Conical Frustums WORKSHEET

Suitable for Grades: 8th Grade, IM 1

CCSS: 8.G.C.9, HSG.GMD.A.3

CCSS Description: Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

Volume of Conical Frustums WORKSHEET DESCRIPTION

This worksheet builds fluency in finding the volume of conical frustums through a clear and well-sequenced structure.

It begins in Section A with straightforward volume calculations for individual cones, reinforcing the formula and helping students visualize the components of a frustum.

In Section B, students use this knowledge to calculate the volume of a frustum by subtracting the volume of the smaller cone from the larger.

Section C adds a layer of complexity, asking students to use similar shapes to find missing lengths before calculating volumes. It concludes with a bound question that challenges students to apply estimation and reasoning skills to justify their answers. This gradual progression ensures students develop both confidence and depth of understanding.