Volume of a Pyramid WORKSHEET

Suitable for Grades: 6th Grade
CCSS: 6.G.A.2, 6.G.A.4
CCSS Description: Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

Volume of a Pyramid WORKSHEET DESCRIPTION

This worksheet provides a detailed exploration of calculating the volume of pyramids.

Section A focuses on practicing applying the formula for the volume of a pyramid with given dimensions.

In Section B, students are asked to sketch three pyramids with the same specified volume. This section challenges them to calculate the area of the base and apply the volume formula for pyramids.

Section C extends learners as they are required to use the Pythagorean Theorem in 3D in order to find the perpendicular height of three pyramids before they can calculate their volume.

Section D offers more complex challenges, including finding unknown dimensions when the volume is provided and solving problems involving composite shapes.

This comprehensive worksheet ensures mastery of pyramid volume calculations.