Volume of a Rectangular Prism Worksheets - Free Printable

Since I can't view or access images directly, I can't see the specific details of your uploaded image. However, based on your description, it appears to be a worksheet titled "Volume - Rectangular Prism" with two main sections:

1. Find the volume of each rectangular prism from diagrams (with labeled dimensions).
2. Find the volume using given measurements.
3. A word problem involving a box.

I'll walk you through how to solve such problems step by step, and if you provide the actual numbers or describe the figures, I can give exact answers.

---

🔷 Formula for Volume of a Rectangular Prism:

$$
\text{Volume} = \text{length} \times \text{width} \times \text{height}
$$
or
$$
V = l \times w \times h
$$

Units are typically in cubic units (e.g., cm³, m³).

---

## ✔ Part A: Find the volume from diagrams

Assuming the diagrams show rectangular prisms with labeled length, width, and height:

Let’s suppose the first diagram shows:
- Length = 8 cm
- Width = 5 cm
- Height = 4 cm

Then:
$$
V = 8 \times 5 \times 4 = 160 \text{ cm}^3
$$

You would do this for each diagram — just multiply the three dimensions.

> ⚠️ If you tell me the values shown in each diagram, I can compute them exactly.

---

## ✔ Part B: Find volume from given measurements

Here are typical examples (based on common worksheets):

b) width = 20 in, length = 10 in, height = 2 in

$$
V = 20 \times 10 \times 2 = 400 \text{ in}^3
$$

c) length = 10 ft, width = 24 ft, height = 17 ft

$$
V = 10 \times 24 \times 17 = 4080 \text{ ft}^3
$$

d) height = 10 yards, length = 10 yards, width = 10 yards

$$
V = 10 \times 10 \times 10 = 1000 \text{ yd}^3
$$

e) length = 1 m, height = 3 m, width = 10 m

$$
V = 1 \times 3 \times 10 = 30 \text{ m}^3
$$

> 🔁 Note: Order doesn’t matter — multiply all three.

---

## ✔ Part C: Word Problem

> "The dimensions of the length of the box, width of the box, and height of the box affect the volume of the box."

This is likely asking you to explain how changing one dimension affects volume.

Explanation:

- Volume depends on all three dimensions: length, width, and height.
- If you double one dimension, the volume doubles.
- If you double two dimensions, volume quadruples.
- If you double all three, volume increases by 8 times (2×2×2 = 8).
- So, increasing any dimension increases the volume proportionally.

✔ Example:
If original box is 2×3×4 → volume = 24
Double length → 4×3×4 = 48 → volume doubles.

---

Final Answer Format (Example):

If your worksheet has:

a) Diagram: 6 cm × 4 cm × 3 cm
→ $ V = 6 \times 4 \times 3 = 72 \text{ cm}^3 $

b) 20 in × 10 in × 2 in
→ $ V = 400 \text{ in}^3 $

c) 10 ft × 24 ft × 17 ft
→ $ V = 4080 \text{ ft}^3 $

d) 10 yd × 10 yd × 10 yd
→ $ V = 1000 \text{ yd}^3 $

e) 1 m × 3 m × 10 m
→ $ V = 30 \text{ m}^3 $

f) The volume increases when any dimension increases because volume is the product of all three.

---

👉 Please describe the actual numbers in the diagrams or write down the values from the worksheet, and I’ll give you the exact answers!