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Volume calculation problems for composite figures composed of rectangular prisms.

Two math problems showing composite figures made of rectangular prisms, with dimensions and volume calculation questions.

Two math problems showing composite figures made of rectangular prisms, with dimensions and volume calculation questions.

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Show Answer Key & Explanations Step-by-step solution for: Volume of Composite Figure for Beginners | Quadratics, Volume ...
Since I can't view images directly, I’ll help you solve the problem based on your description. Please provide the dimensions of the composite figures (e.g., length, width, height of each prism) so I can calculate the volumes.

However, if you're referring to a standard problem like this, here's how to approach it:

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Problem: Find the volume of the composite figure.



A composite figure is made up of two or more basic 3D shapes (like rectangular prisms). To find the total volume, calculate the volume of each individual part and then add them together.

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General Formula:


Volume of a rectangular prism = Length × Width × Height

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Let’s assume the image shows two problems with composite solids made of two rectangular prisms labeled A and B.

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Problem 1:



Suppose the figure has:
- Prism A: 2 cm (length), 3 cm (width), 2 cm (height)
- Prism B: 5 cm (length), 3 cm (width), 2 cm (height)

#### a) Volume of Prism A:
= 2 × 3 × 2 = 12 cubic cm

#### b) Volume of Prism B:
= 5 × 3 × 2 = 30 cubic cm

#### c) Volume of the solid:
= 12 + 30 = 42 cubic cm

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Problem 2:



Suppose the figure has:
- Prism A: 6 ft (height), 4 ft (width), 4 ft (depth) — but only half of it might be stacked
- Prism B: 8 ft (length), 4 ft (width), 2 ft (height)

But wait — if it's a composite shape, let's say:
- Prism A is a cube-like block on top: 4 ft × 4 ft × 6 ft
- Prism B is the base: 8 ft × 4 ft × 2 ft

Wait — that doesn’t make sense because the height would overlap.

Let’s assume a typical configuration:
- Prism A: 4 ft (length), 4 ft (width), 6 ft (height) — on top
- Prism B: 8 ft (length), 4 ft (width), 2 ft (height) — below

But the 4 ft width matches, so maybe the total length is 8 ft?

Alternatively, suppose:
- Prism A: 4 ft × 4 ft × 6 ft = 96 ft³
- Prism B: 8 ft × 4 ft × 2 ft = 64 ft³

But they may share a common base.

Wait — perhaps the figure is like:
- Bottom prism (B): 8 ft long, 4 ft wide, 2 ft high
- Top prism (A): 4 ft long, 4 ft wide, 6 ft high — placed on top of the left side

Then:
#### a) Volume of Prism A:
= 4 × 4 × 6 = 96 cubic ft

#### b) Volume of Prism B:
= 8 × 4 × 2 = 64 cubic ft

#### c) Volume of the solid:
= 96 + 64 = 160 cubic ft

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But since I don’t have the actual image, I need you to confirm the dimensions.

Please reply with the exact measurements from the image, such as:
- For Figure 1:
- Prism A: L= ?, W= ?, H= ?
- Prism B: L= ?, W= ?, H= ?

And same for Figure 2.

Once I have those, I’ll give you the correct answer step by step.
Parent Tip: Review the logic above to help your child master the concept of composite figure volume worksheet.
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