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Grade 10 pyramids and spheres worksheets

HSG-GMD.A.3 Measurement and geometry

Printable pyramids and spheres worksheets for grade 10, aligned to Common Core standard HSG-GMD.A.3. Volume of a pyramid, surface area of a sphere.

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Sample problems

  1. A sphere has a radius of 2 cm. What is its surface area, in terms of π? 16π cm²
  2. A square pyramid has a base side of 9 cm and a height of 12 cm. What is its volume? 324 cm³
  3. A sphere has a radius of 3 cm. What is its surface area, in terms of π? 36π cm²
  4. A square pyramid has a base side of 3 cm and a height of 3 cm. What is its volume? 9 cm³
  5. A sphere has a radius of 6 cm. What is its surface area, in terms of π? 144π cm²
  6. A square pyramid has a base side of 7 cm and a height of 6 cm. What is its volume? 98 cm³
  7. A square pyramid has a base side of 4 cm and a height of 12 cm. What is its volume? 64 cm³
  8. A sphere has a radius of 7 cm. What is its surface area, in terms of π? 196π cm²

These eight are one sample at medium difficulty — the generator makes a different set every time.

A worked example

A sphere has a radius of 2 cm. What is its surface area, in terms of π? 16π cm²

  1. Surface area of a sphere = 4 × π × r²
  2. 2² = 4, and 4 × 4 = 16, so 16π cm²

Every problem on the answer key can show its steps like this — turn on “Show steps” before downloading.

About these worksheets

Each problem states its own measurements, so the reasoning is the same but the arithmetic is new every time. Every sheet is generated fresh, so you can print a new one on the same skill as often as you need — different numbers, same difficulty.

Pick how many problems you want and whether they should be easy, medium or hard, then download a PDF with a matching answer key. The key can show the worked steps for every problem, which is what a parent needs to see where a wrong answer went wrong.

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