Volume of Rectangular Prisms and Cubes with Fractions worksheet for math practice.

Let’s solve each volume problem step by step.

We use the formula:
Volume = length × width × height

All answers must be in simplified fraction or mixed number form.

---

Problem 1 (Top Left)

Dimensions:
Length = 5 ft, Width = 3/4 ft, Height = 2 ft

Multiply:
5 × 3/4 × 2
First, multiply 5 × 2 = 10
Then, 10 × 3/4 = 30/4
Simplify 30/4 → divide numerator and denominator by 2 → 15/2
Convert to mixed number: 15 ÷ 2 = 7 with remainder 1 → 7 1/2 ft³

✔ Volume = 7 1/2 ft³

---

Problem 2 (Top Right)

Dimensions:
Length = 1/3 yd, Width = 1/3 yd, Height = 1/3 yd

Multiply:
(1/3) × (1/3) × (1/3) = 1/27

✔ Volume = 1/27 yd³

---

Problem 3 (Middle Left)

Dimensions:
Length = 2 m, Width = 2/5 m, Height = 2 m

Multiply:
2 × 2/5 × 2
First, 2 × 2 = 4
Then, 4 × 2/5 = 8/5
Convert to mixed number: 8 ÷ 5 = 1 with remainder 3 → 1 3/5 m³

✔ Volume = 1 3/5 m³

---

Problem 4 (Middle Right)

Dimensions:
Length = 6 ft, Width = 3/10 ft, Height = 3/10 ft

Multiply:
6 × 3/10 × 3/10
First, 3/10 × 3/10 = 9/100
Then, 6 × 9/100 = 54/100
Simplify: divide numerator and denominator by 2 → 27/50 ft³

✔ Volume = 27/50 ft³

---

Problem 5 (Bottom Left)

Dimensions:
Length = 4 ft, Width = 1/8 ft, Height = 1/8 ft

Multiply:
4 × 1/8 × 1/8
First, 1/8 × 1/8 = 1/64
Then, 4 × 1/64 = 4/64
Simplify: divide numerator and denominator by 4 → 1/16 ft³

✔ Volume = 1/16 ft³

---

Problem 6 (Bottom Right)

Dimensions:
Length = 3 m, Width = 2/15 m, Height = 2/15 m

Multiply:
3 × 2/15 × 2/15
First, 2/15 × 2/15 = 4/225
Then, 3 × 4/225 = 12/225
Simplify: divide numerator and denominator by 3 → 4/75 m³

✔ Volume = 4/75 m³

---

Final Answer:

- Top Left: 7 1/2 ft³
- Top Right: 1/27 yd³
- Middle Left: 1 3/5 m³
- Middle Right: 27/50 ft³
- Bottom Left: 1/16 ft³
- Bottom Right: 4/75 m³