Volume of prisms and cylinders worksheet for Geometry
A prism or a cylinder is the same cross-section repeated all the way up, so the volume is the area of that face times the height. A solid with a hole is the same idea twice: the whole solid, minus the hole.
Also taught in Pre-Algebra, at its own level and with its own examples.
Not quite the one you need? Same words, different skill:
Using the diameter where the formula wants the radius. Every one of these formulas takes the radius, and putting the diameter in makes the volume four times too big.
Also called volume of a triangular prism.
What you can put on this worksheet
Volume of a cylinder
Work out the volume of the cylinder. — a cylinder with radius 7 and height 6→ 294π
Surface area of a cylinder
Find the total surface area of a cylinder with radius 7 and height 6.→ 182π
Volume of a prism
Find the volume. — a rectangular prism 7 by 8 by 6→ 336
Surface area of a prism
Find the surface area. — a rectangular prism 7 by 8 by 6→ 292
Trapezoidal, pentagonal and hexagonal prisms
Find the volume. The base is a regular hexagon. — a regular hexagonal prism, labeled 6, 5.2, 8→ 748.8
Solids with a hole
A pipe is 4 long. Its outer radius is 8 and its inner radius is 6. Find the volume of material in the pipe, exactly.→ 112π
Volume of a triangular prism
A prism is 10 long, and its base is a right triangle with legs 7and 8. Find the volume.→ 280
Questions about these worksheets
Yes. Every volume of prisms and cylinders sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.
Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.
Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.
Geometry is usually taken around 9th or 10th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.
Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.
That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the volume of prisms and cylinders questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.
Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.
You pick from 7: volume of a cylinder, surface area of a cylinder, volume of a prism, surface area of a prism, trapezoidal, pentagonal and hexagonal prisms, solids with a hole and volume of a triangular prism. Tick as many as you want and set how many of each, or let it spread them evenly.
Using the diameter where the formula wants the radius. Every one of these formulas takes the radius, and putting the diameter in makes the volume four times too big.