Free Printable WorksheetMathGeometryMath CurriculumG-GMD.B.4

GEO.161 Volume of prisms, cylinders, pyramids, cones, and spheres Worksheet

Download our free printable Geometry Math worksheet on GEO.161 Volume of prisms, cylinders, pyramids, cones, and spheres. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.161 Volume of prisms, cylinders, pyramids, cones, and spheres. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.161 Volume of prisms, cylinders, pyramids, cones, and spheres - Primary standard selected for prompt fields in this prompt cell: CCSS G-GMD.B.4. Skill statement in this prompt cell: Select the correct volume formula and compute the volume of a given solid (including composite solids). Associated standards listed with this skill in the curriculum source: CCSS G-GMD.B.4; FL MA.912.GR.4.1-4.2; VA G.DF.1a. Use this prompt-provided wording as the supporting standard description for this workflow.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Geometry

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related GEO.161 Volume of prisms, cylinders, pyramids, cones, and spheres skill assessments:

Problem 1Difficulty: Mastery
A barn-shaped storage space is modeled by a rectangular prism 20 feet long, 12 feet wide, and 8 feet high, plus a triangular prism roof. The roof has triangular cross-section base 12 feet, height 6 feet, and length 20 feet. What is the total volume?
A1920 cubic feet
B2280 cubic feet
C2640 cubic feet
D3360 cubic feet
Solution & Explanation:The rectangular prism volume is 20 x 12 x 8 = 1920. The triangular roof volume is [(1/2)(12)(6)] x 20 = 720. Total volume is 1920 + 720 = 2640 cubic feet.
Problem 2Difficulty: Mastery
A cube with side length 12 inches has a square pyramid-shaped hole removed from the top. The removed pyramid has base side length 6 inches and height 9 inches. What is the remaining volume?
A1512 cubic inches
B1620 cubic inches
C1728 cubic inches
D1836 cubic inches
Solution & Explanation:The cube volume is 123 = 1728. The removed pyramid volume is (1/3)(6 x 6)(9) = 108. The remaining volume is 1728 - 108 = 1620 cubic inches.
Problem 3Difficulty: Mastery
An oblique prism has base area 30 square centimeters, perpendicular height 11 centimeters, and a slanted side length 13 centimeters. What is its volume?
A195 cubic centimeters
B330 cubic centimeters
C390 cubic centimeters
D990 cubic centimeters
Solution & Explanation:Prism volume uses the base area and perpendicular height. V = Bh = 30 x 11 = 330 cubic centimeters; the slanted side length is not the height for volume.

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Frequently Asked Questions

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QHow do I download and print this GEO.161 Volume of prisms, cylinders, pyramids, cones, and spheres worksheet?

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QIs this GEO.161 Volume of prisms, cylinders, pyramids, cones, and spheres worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Geometry Math students. It aligns with educational standard G-GMD.B.4 (Primary standard selected for prompt fields in this prompt cell: CCSS G-GMD.B.4. Skill statement in this prompt cell: Select the correct volume formula and compute the volume of a given solid (including composite solids). Associated standards listed with this skill in the curriculum source: CCSS G-GMD.B.4; FL MA.912.GR.4.1-4.2; VA G.DF.1a. Use this prompt-provided wording as the supporting standard description for this workflow.).

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