Volume of a Triangular Pyramid Worksheets - Free Printable

Let’s solve this step by step.

We are given 8 triangles, each with three numbers on the sides and one number in the center. The goal is to find the rule that connects the three side numbers to the center number — then use that rule to fill in the missing center numbers for the last two triangles (problems 7 and 8).

Let’s look at the first few examples where all numbers are filled in:

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Triangle 1:
Sides: 3, 4, 5 → Center: 60
Try multiplying: 3 × 4 × 5 = 60 ✔

Triangle 2:
Sides: 2, 3, 4 → Center: 24
2 × 3 × 4 = 24 ✔

Triangle 3:
Sides: 1, 5, 6 → Center: 30
1 × 5 × 6 = 30 ✔

Triangle 4:
Sides: 2, 2, 3 → Center: 12
2 × 2 × 3 = 12 ✔

Triangle 5:
Sides: 3, 3, 4 → Center: 36
3 × 3 × 4 = 36 ✔

Triangle 6:
Sides: 1, 4, 5 → Center: 20
1 × 4 × 5 = 20 ✔

So the pattern is clear: Multiply the three numbers on the sides to get the center number.

Now let’s apply this to the last two triangles.

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Triangle 7:
Sides: 2, 3, 5
→ 2 × 3 × 5 = 30
Center should be 30

Triangle 8:
Sides: 1, 2, 6
→ 1 × 2 × 6 = 12
Center should be 12

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Final Answer:
30, 12