Practice worksheet for calculating the volume of rectangular prisms using centimeter cubes and given dimensions.

Of course! Let's solve the problems step by step.

---

## Part 1: Rectangular Prisms Built from Centimeter Cubes

In this section, we count the number of small cubes along each dimension (length, width, height) to find the dimensions. Then we calculate volume using:

> Volume = Length × Width × Height

---

a. First Prism (Flat Rectangle)

Looking at the image:
- Length: Count the cubes along the longer horizontal side → 5 cubes → 5 cm
- Width: Count the cubes going into the page (depth) → 2 cubes → 2 cm
- Height: Count the layers vertically → 1 cube → 1 cm

✔ Dimensions:
- Length: 5 cm
- Width: 2 cm
- Height: 1 cm

✔ Volume:
> V = 5 × 2 × 1 = 10 cm³

---

b. Second Prism (Taller Cube-like Shape)

Looking at the image:
- Length: Along the front bottom edge → 3 cubes → 3 cm
- Width: Depth (into the page) → 2 cubes → 2 cm
- Height: Vertical layers → 3 cubes → 3 cm

✔ Dimensions:
- Length: 3 cm
- Width: 2 cm
- Height: 3 cm

✔ Volume:
> V = 3 × 2 × 3 = 18 cm³

---

## Part 2: Calculate Volume with Given Dimensions

Use the same formula: V = L × W × H

---

a. Prism with Dimensions in Inches

Given:
- Length = 4 in
- Width = 3 in
- Height = 4 in

✔ Volume:
> V = 4 × 3 × 4 = 48 in³

---

b. Prism with Dimensions in Meters

Given:
- Length = 3 m
- Width = 2 m
- Height = 6 m

✔ Volume:
> V = 3 × 2 × 6 = 36 m³

---

## ✔ Final Answers:

Part 1:

a.
- Length: 5 cm
- Width: 2 cm
- Height: 1 cm
- Volume: 10 cm³

b.
- Length: 3 cm
- Width: 2 cm
- Height: 3 cm
- Volume: 18 cm³

Part 2:

a. V = 48 in³
b. V = 36 m³

Let me know if you’d like a visual breakdown or more practice!