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Solving Volume of Solid Figures | Helping with Math - Free Printable

Solving Volume of Solid Figures | Helping with Math

Educational worksheet: Solving Volume of Solid Figures | Helping with Math. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Solving Volume of Solid Figures | Helping with Math
Actually, there is no specific problem or numerical task given in the image — it’s an educational reference chart explaining three solid figures (Cube, Rectangular Prism, and Pyramid) along with their volume formulas.

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📌 What the Image Contains:



1. Cube
- Definition: A solid with 6 square faces, 3 meeting at each vertex.
- Volume Formula:
> V = s³
where *s* = side length of the cube.

2. Rectangular Prism
- Definition: A polyhedron with 2 congruent, parallel rectangular bases; other faces are lateral rectangles.
- Volume Formula:
> V = L × W × H
where *L* = length, *W* = width, *H* = height.

3. Pyramid
- Definition: A polyhedron with one polygonal base and triangular lateral faces meeting at a common vertex (apex).
- Volume Formula:
> V = ⅓ × B × H
where *B* = area of the base, *H* = height from base to apex.

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How to Use This Chart to Solve Problems



Since no specific problem was provided, here’s how you’d solve a typical volume problem using this chart:

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#### 🔹 Example Problem 1: Cube
> A cube has a side length of 5 cm. What is its volume?

Solution:
Use the cube formula:
V = s³ = 5³ = 125 cm³

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#### 🔹 Example Problem 2: Rectangular Prism
> A box is 8 m long, 3 m wide, and 2 m high. What is its volume?

Solution:
Use the prism formula:
V = L × W × H = 8 × 3 × 2 = 48 m³

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#### 🔹 Example Problem 3: Pyramid
> A square pyramid has a base side of 6 cm and a height of 9 cm. Find its volume.

Solution:
First, find base area:
B = 6 × 6 = 36 cm²
Then use pyramid formula:
V = ⅓ × B × H = ⅓ × 36 × 9 = 108 cm³

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💡 Summary



The image is a reference guide, not a problem set. To solve volume problems:

1. Identify the shape (cube, rectangular prism, or pyramid).
2. Choose the correct formula from the chart.
3. Plug in the given measurements.
4. Calculate and label units (e.g., cm³, m³).

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If you have a specific problem you’d like solved (e.g., “Find the volume of a pyramid with base area 20 in² and height 6 in”), please provide it — I’ll solve it step-by-step for you! 😊
Parent Tip: Review the logic above to help your child master the concept of volumes of solids worksheet answers.
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