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Volume - Free Printable

Volume

Educational worksheet: Volume. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Volume
Since I can't view or access images directly, I can't see the specific dimensions of the rectangular pyramids in your uploaded worksheet. However, I can help you solve any volume of a rectangular pyramid problem if you provide the base length, base width, and height for each pyramid.

But let’s go over the formula and method so you can solve all the problems on your own — or tell me the numbers, and I’ll walk you through each one.

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🔷 Formula for Volume of a Rectangular Pyramid:



$$
V = \frac{1}{3} \times \text{Base Area} \times \text{Height}
$$

Where:
- Base Area = length × width (of the rectangular base)
- Height = perpendicular height from the base to the apex (top point)

So:
$$
V = \frac{1}{3} \times l \times w \times h
$$

Then round your answer to two decimal places, as instructed.

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Step-by-step Example:



Let’s say one pyramid has:
- Length (l) = 8 cm
- Width (w) = 6 cm
- Height (h) = 10 cm

Then:
$$
V = \frac{1}{3} \times 8 \times 6 \times 10 = \frac{1}{3} \times 480 = 160.00 \text{ cm}^3
$$

Answer: 160.00

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📌 How to Solve Your Worksheet:



For each pyramid:
1. Identify the length and width of the base.
2. Identify the height (the vertical line from the base to the tip).
3. Plug into the formula: $ V = \frac{1}{3} \times l \times w \times h $
4. Round to two decimal places.

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👉 Please type in the dimensions for each pyramid (e.g., "Pyramid 1: l=12, w=8, h=9") and I’ll calculate the volumes for you step by step.

Or, if you can describe what’s shown in each diagram (like base sides and height), I’ll guide you through solving them all!
Parent Tip: Review the logic above to help your child master the concept of volume of triangular pyramid worksheet.
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