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Solid Volume Worksheets

Practice the volumes of prisms, pyramids, cylinders and cones with selectable base shapes, units and worked answer keys.

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Find the base area, use the perpendicular solid height, and report cubic units. Round only the final answer to hundredths.

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US Letter

Student worksheetWorksheet with answers

A4

Student worksheetWorksheet with answers
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Start with the area of the base

Prisms and cylinders use V = BH. Pyramids and cones use V = BH/3, with the perpendicular height shown separately from any slant height.

Start with a focused shape family

All prisms, pyramids, cylinders, and cones · Cylinders and cones · Prisms and pyramids · Pyramids and cones

Select 15 problems with the full mix to include every solid type. Shorter worksheets sample from the shapes you select.

Learning objective

What this activity builds

Use base area and perpendicular solid height to calculate volume, including the one-third factor for pyramids and cones.

Worked example

A square pyramid has base side 6 cm and perpendicular height 10 cm. What is its volume?

120 cm³.

V = Bh/3 = (6²)(10)/3. The slant height is not used in this formula.

Teaching notes

Make the practice count

  • Prisms and cylinders use V = Bh.
  • Pyramids and cones use V = Bh/3.
  • Work from the labelled dimensions, not the apparent scale of a diagram.

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Choose your options, update the preview, then download the exact same pages.

Choose the solid types, units and problem count. Every preview and download uses the same labelled dimensions and worked solutions.

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Configured PDF · Volume of Solids · US Letter

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Math SheetNameScoreTeacherDateVolume of SolidsFind the volume. sqrt(n) means the square root of n. Use calculator pi, retain intermediate precision, and round the final answer to the nearest hundredth.1.Right square prism: Find the volume.base sperp. Hnot to scaleGiven: base side = 5 yd; prism height = 13 ydFormula and work:2.Right cone: Find the volume.rperp. Hnot to scaleGiven: radius = 6 ft; perpendicular height = 8 ftFormula and work:Use calculator pi. Round final answers to the nearest hundredth.math-sheet.comPage 1 of 3
Math SheetNameScoreTeacherDateVolume of SolidsFind the volume. sqrt(n) means the square root of n. Use calculator pi, retain intermediate precision, and round the final answer to the nearest hundredth.3.Right trapezoidal prism: Find the volume.base abase bbase hbase legperp. Hnot to scaleGiven: short parallel side = 5 cm; long parallel side = 13 cm;trapezoid height = 8 cm; equal base leg = sqrt(80) cm; prismlength = 13 cmFormula and work:4.Right cylinder: Find the volume.rperp. Hnot to scaleGiven: radius = 5 in; cylinder height = 10 inFormula and work:Use calculator pi. Round final answers to the nearest hundredth.math-sheet.comPage 2 of 3
Math SheetNameScoreTeacherDateVolume of SolidsFind the volume. sqrt(n) means the square root of n. Use calculator pi, retain intermediate precision, and round the final answer to the nearest hundredth.5.Right cylinder: Find the volume.dperp. Hnot to scaleGiven: diameter = 10 mm; cylinder height = 16 mmFormula and work:6.Right prism with a right-triangle base: Find the volume.base abase bbase cperp. Hnot to scaleGiven: base leg = 6 yd; base height = 8 yd; base hypotenuse =10 yd; prism length = 5 ydFormula and work:Use calculator pi. Round final answers to the nearest hundredth.math-sheet.comPage 3 of 3

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