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Grade 6 Volume of Cuboids Worksheets

Find how much space a box fills, in cubic centimeters.

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Geometry · Grade 6

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Topic
SkillEach skill is a different kind of question, with its own levels.
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10

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Grade 6 · 3 pages · A4

Geometry Practice

Grade 6 • Volume of Cuboids • Base area and height
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Work out each volume from the base area and the height.

  1. 1) A prism has a base area of 36 cm² and a length of 5 cm. What is its volume?
    Answer:
  1. 2) A prism has a base area of 32 cm² and a length of 8 cm. What is its volume?
    Answer:
  1. 3) A cuboid has a base area of 20 cm² and a height of 7 cm. What is its volume?
    Answer:
  1. 4) A cuboid has a base area of 80 cm² and a height of 6 cm. What is its volume?
    Answer:
  1. 5) A prism has a base area of 75 cm² and a length of 6 cm. What is its volume?
    Answer:
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Page 1 of 3

Work out each volume from the base area and the height. (continued)

  1. 6) A cuboid has a base area of 56 cm² and a height of 10 cm. What is its volume?
    Answer:
  1. 7) A cuboid has a base area of 35 cm² and a height of 6 cm. What is its volume?
    Answer:
  1. 8) A cuboid has a base area of 72 cm² and a height of 11 cm. What is its volume?
    Answer:
  1. 9) A cuboid has a base area of 76 cm² and a height of 10 cm. What is its volume?
    Answer:
  1. 10) A prism has a base area of 15 cm² and a length of 4 cm. What is its volume?
    Answer:
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Page 2 of 3

Answer Key

  1. 1. 180 cm³
  2. 2. 256 cm³
  3. 3. 140 cm³
  4. 4. 480 cm³
  1. 5. 450 cm³
  2. 6. 560 cm³
  3. 7. 210 cm³
  4. 8. 792 cm³
  1. 9. 760 cm³
  2. 10. 60 cm³
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Page 3 of 3

What each level generates

Grade 6 volume of cuboids — the exact skill behind each difficulty setting, straight from the generator.

  1. Level 1Cubes and cuboids
  2. Level 2Base area and height
  3. Level 3Find a missing edge

Grade levels follow the progression common to most English-language curricula — not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence →

More Grade 6 geometry skills

Each one generates a different kind of question, with its own three levels and answer key.

Frequently asked questions

▸What geometry is taught in Grade 6?

Typically angle sums in triangles and quadrilaterals, the area of compound shapes made from rectangles, and the circumference and area of a circle. Angle Sums in Shapes, Compound Shape Area, Circumference of a Circle and Area of a Circle each have a sheet of their own, all using pi = 3.14.

▸How do you find the circumference and area of a circle?

Circumference is 2 × π × radius, or π × diameter. Area is π × radius × radius. With π = 3.14, a circle of radius 5 cm has a circumference of 31.4 cm and an area of 78.5 cm². Circumference of a Circle and Area of a Circle are separate sheets, and both use measurements that keep every answer exact.

▸Do the angles in a quadrilateral add up to 360 degrees?

Yes. A triangle's angles total 180°, a quadrilateral's total 360°, and angles meeting at a point also total 360°. Angle Sums in Shapes covers the first two — the third angle in a triangle, then the fourth in a quadrilateral, then isosceles and right-angled cases. The around-a-point fact lives on the Missing Angles sheet.

▸How do you find the area of a compound shape?

Split it into rectangles, find each area, then add — or, if a piece has been cut out, find the whole rectangle's area and subtract the missing piece. Compound Shape Area gives each case its own level and prints the shape to scale, with the measurements it needs on its sides, so a student decides where to cut it.