Math worksheet for calculating the volume of L-shaped blocks with various dimensions.

To solve the problem of finding the volume of each L-block, we need to break down each shape into simpler rectangular prisms and then calculate the volume of each prism. The volume of a rectangular prism is given by the formula:

\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]

We will calculate the volume for each L-block step by step.

---

1)

The L-block consists of two rectangular prisms:
- Prism 1: Dimensions are \(12 \, \text{mm} \times 3 \, \text{mm} \times 10 \, \text{mm}\)
- Prism 2: Dimensions are \(8 \, \text{mm} \times 2 \, \text{mm} \times 10 \, \text{mm}\)

#### Volume of Prism 1:
\[
V_1 = 12 \times 3 \times 10 = 360 \, \text{mm}^3
\]

#### Volume of Prism 2:
\[
V_2 = 8 \times 2 \times 10 = 160 \, \text{mm}^3
\]

#### Total Volume:
\[
V_{\text{total}} = V_1 + V_2 = 360 + 160 = 520 \, \text{mm}^3
\]

Answer:
\[
\boxed{520 \, \text{mm}^3}
\]

---

2)

The L-block consists of two rectangular prisms:
- Prism 1: Dimensions are \(8 \, \text{ft} \times 4 \, \text{ft} \times 16 \, \text{ft}\)
- Prism 2: Dimensions are \(5 \, \text{ft} \times 4 \, \text{ft} \times 4 \, \text{ft}\)

#### Volume of Prism 1:
\[
V_1 = 8 \times 4 \times 16 = 512 \, \text{ft}^3
\]

#### Volume of Prism 2:
\[
V_2 = 5 \times 4 \times 4 = 80 \, \text{ft}^3
\]

#### Total Volume:
\[
V_{\text{total}} = V_1 + V_2 = 512 + 80 = 592 \, \text{ft}^3
\]

Answer:
\[
\boxed{592 \, \text{ft}^3}
\]

---

3)

The L-block consists of two rectangular prisms:
- Prism 1: Dimensions are \(9 \, \text{cm} \times 3 \, \text{cm} \times 3 \, \text{cm}\)
- Prism 2: Dimensions are \(7 \, \text{cm} \times 1 \, \text{cm} \times 3 \, \text{cm}\)

#### Volume of Prism 1:
\[
V_1 = 9 \times 3 \times 3 = 81 \, \text{cm}^3
\]

#### Volume of Prism 2:
\[
V_2 = 7 \times 1 \times 3 = 21 \, \text{cm}^3
\]

#### Total Volume:
\[
V_{\text{total}} = V_1 + V_2 = 81 + 21 = 102 \, \text{cm}^3
\]

Answer:
\[
\boxed{102 \, \text{cm}^3}
\]

---

4)

The L-block consists of two rectangular prisms:
- Prism 1: Dimensions are \(10 \, \text{in} \times 5 \, \text{in} \times 3 \, \text{in}\)
- Prism 2: Dimensions are \(12 \, \text{in} \times 4 \, \text{in} \times 5 \, \text{in}\)

#### Volume of Prism 1:
\[
V_1 = 10 \times 5 \times 3 = 150 \, \text{in}^3
\]

#### Volume of Prism 2:
\[
V_2 = 12 \times 4 \times 5 = 240 \, \text{in}^3
\]

#### Total Volume:
\[
V_{\text{total}} = V_1 + V_2 = 150 + 240 = 390 \, \text{in}^3
\]

Answer:
\[
\boxed{390 \, \text{in}^3}
\]

---

5)

The L-block consists of two rectangular prisms:
- Prism 1: Dimensions are \(15 \, \text{m} \times 4 \, \text{m} \times 11 \, \text{m}\)
- Prism 2: Dimensions are \(2 \, \text{m} \times 4 \, \text{m} \times 5 \, \text{m}\)

#### Volume of Prism 1:
\[
V_1 = 15 \times 4 \times 11 = 660 \, \text{m}^3
\]

#### Volume of Prism 2:
\[
V_2 = 2 \times 4 \times 5 = 40 \, \text{m}^3
\]

#### Total Volume:
\[
V_{\text{total}} = V_1 + V_2 = 660 + 40 = 700 \, \text{m}^3
\]

Answer:
\[
\boxed{700 \, \text{m}^3}
\]

---

6)

The L-block consists of two rectangular prisms:
- Prism 1: Dimensions are \(8 \, \text{cm} \times 2 \, \text{cm} \times 16 \, \text{cm}\)
- Prism 2: Dimensions are \(3 \, \text{cm} \times 2 \, \text{cm} \times 2 \, \text{cm}\)

#### Volume of Prism 1:
\[
V_1 = 8 \times 2 \times 16 = 256 \, \text{cm}^3
\]

#### Volume of Prism 2:
\[
V_2 = 3 \times 2 \times 2 = 12 \, \text{cm}^3
\]

#### Total Volume:
\[
V_{\text{total}} = V_1 + V_2 = 256 + 12 = 268 \, \text{cm}^3
\]

Answer:
\[
\boxed{268 \, \text{cm}^3}
\]

---

7)

The L-block consists of two rectangular prisms:
- Prism 1: Dimensions are \(7 \, \text{ft} \times 3 \, \text{ft} \times 5 \, \text{ft}\)
- Prism 2: Dimensions are \(6 \, \text{ft} \times 2 \, \text{ft} \times 5 \, \text{ft}\)

#### Volume of Prism 1:
\[
V_1 = 7 \times 3 \times 5 = 105 \, \text{ft}^3
\]

#### Volume of Prism 2:
\[
V_2 = 6 \times 2 \times 5 = 60 \, \text{ft}^3
\]

#### Total Volume:
\[
V_{\text{total}} = V_1 + V_2 = 105 + 60 = 165 \, \text{ft}^3
\]

Answer:
\[
\boxed{165 \, \text{ft}^3}
\]

---

8)

The L-block consists of two rectangular prisms:
- Prism 1: Dimensions are \(18 \, \text{in} \times 5 \, \text{in} \times 12 \, \text{in}\)
- Prism 2: Dimensions are \(6 \, \text{in} \times 3 \, \text{in} \times 12 \, \text{in}\)

#### Volume of Prism 1:
\[
V_1 = 18 \times 5 \times 12 = 1080 \, \text{in}^3
\]

#### Volume of Prism 2:
\[
V_2 = 6 \times 3 \times 12 = 216 \, \text{in}^3
\]

#### Total Volume:
\[
V_{\text{total}} = V_1 + V_2 = 1080 + 216 = 1296 \, \text{in}^3
\]

Answer:
\[
\boxed{1296 \, \text{in}^3}
\]

---

9)

The L-block consists of two rectangular prisms:
- Prism 1: Dimensions are \(6 \, \text{m} \times 11 \, \text{m} \times 4 \, \text{m}\)
- Prism 2: Dimensions are \(13 \, \text{m} \times 7 \, \text{m} \times 4 \, \text{m}\)

#### Volume of Prism 1:
\[
V_1 = 6 \times 11 \times 4 = 264 \, \text{m}^3
\]

#### Volume of Prism 2:
\[
V_2 = 13 \times 7 \times 4 = 364 \, \text{m}^3
\]

#### Total Volume:
\[
V_{\text{total}} = V_1 + V_2 = 264 + 364 = 628 \, \text{m}^3
\]

Answer:
\[
\boxed{628 \, \text{m}^3}
\]

---

Final Answers:

\[
\boxed{520 \, \text{mm}^3, 592 \, \text{ft}^3, 102 \, \text{cm}^3, 390 \, \text{in}^3, 700 \, \text{m}^3, 268 \, \text{cm}^3, 165 \, \text{ft}^3, 1296 \, \text{in}^3, 628 \, \text{m}^3}
\]