
When solving for the volume:
V= lwh
Where:
l is length 
w is width
h is height 
Unit of measurement is cubic centimeter or liter          Practice exercises:
1. How many grams of Aspirin are contained in 325 mg tab?
The distance between Honolulu,Hawaii and Los Angeles, CA is 4,120km.
How many frequent flyer miles will you earn by travelling between two cities?
Carry out each of the ff 
Conversions
3. 25L to dL
4. 40 oz to g
5. 32 inches to cm
6. 1000km to mm
7. 384 ft to inches
8. 67 lbs to kg
10. 2 tons to kg
Solve for the volume 
11. l = 86 cm  w=  50 cm
h=105 cm
12. l =6 inches  w= 30cm
h= 8inches

Let's tackle the exercises step by step:

### 1. How many grams of Aspirin are contained in a 325 mg tablet?

To convert milligrams (mg) to grams (g), recall that:
1 g = 1000 mg.

So, we convert 325 mg to grams:
\[
325 \, \text{mg} = \frac{325}{1000} = 0.325 \, \text{g}.
\]
Therefore, **0.325 grams** of Aspirin are in the 325 mg tablet.

---

### 2. How many frequent flyer miles will you earn by traveling between Honolulu, Hawaii, and Los Angeles, CA (4,120 km)?

Typically, frequent flyer programs calculate miles directly based on kilometers traveled. Since 1 mile = 1.60934 kilometers, we convert kilometers to miles:
\[
\text{Miles} = \frac{4,120}{1.60934} \approx 2,561 \, \text{miles}.
\]
So, you would earn approximately **2,561 miles**.

---

### 3. Convert 25 liters (L) to deciliters (dL).

Since 1 L = 10 dL, we multiply by 10:
\[
25 \, \text{L} \times 10 = 250 \, \text{dL}.
\]
Thus, **25 L = 250 dL**.

---

### 4. Convert 40 ounces (oz) to grams (g).

Since 1 oz ≈ 28.3495 g, we multiply:
\[
40 \, \text{oz} \times 28.3495 \, \text{g/oz} \approx 1,133.98 \, \text{g}.
\]
So, **40 oz ≈ 1,134 g**.

---

### 5. Convert 32 inches (in) to centimeters (cm).

Since 1 in = 2.54 cm, we multiply:
\[
32 \, \text{in} \times 2.54 \, \text{cm/in} = 81.28 \, \text{cm}.
\]
Thus, **32 inches = 81.28 cm**.

---

### 6. Convert 1000 kilometers (km) to millimeters (mm).

We know:
\[
1 \, \text{km} = 1,000,000 \, \text{mm}.
\]
Thus:
\[
1000 \, \text{km} \times 1,000,000 = 1,000,000,000 \, \text{mm}.
\]
So, **1000 km = 1 billion mm**.

---

### 7. Convert 384 feet (ft) to inches.

Since 1 ft = 12 inches, we multiply:
\[
384 \, \text{ft} \times 12 = 4,608 \, \text{in}.
\]
Thus, **384 feet = 4,608 inches**.

---

### 8. Convert 67 pounds (lbs) to kilograms (kg).

Since 1 lb ≈ 0.453592 kg, we multiply:
\[
67 \, \text{lbs} \times 0.453592 \, \text{kg/lb} \approx 30.391 \, \text{kg}.
\]
So, **67 lbs ≈ 30.39 kg**.

---

### 9. Convert 2 tons to kilograms.

Since 1 ton = 907.185 kg, we multiply:
\[
2 \, \text{tons} \times 907.185 \, \text{kg/ton} = 1,814.37 \, \text{kg}.
\]
Thus, **2 tons = 1,814.37 kg**.

---

### Solve for the Volume:

The formula for volume is \( V = l \times w \times h \).

### 10. l = 86 cm, w = 50 cm, h = 105 cm
\[
V = 86 \, \text{cm} \times 50 \, \text{cm} \times 105 \, \text{cm} = 451,500 \, \text{cm}^3.
\]
Thus, the volume is **451,500 cubic centimeters**.

### 11. l = 6 inches, w = 30 cm, h = 8 inches

First, convert all dimensions to the same units (let's use cm). Since 1 inch = 2.54 cm:
\[
6 \, \text{in} \times 2.54 = 15.24 \, \text{cm}, \quad 8 \, \text{in} \times 2.54 = 20.32 \, \text{cm}.
\]
Now calculate the volume:
\[
V = 15.24 \, \text{cm} \times 30 \, \text{cm} \times 20.32 \, \text{cm} \approx 9,286.82 \, \text{cm}^3.
\]
Thus, the volume is approximately **9,286.82 cubic centimeters**.

---

Would you like more details or clarification on any step?

Here are some follow-up questions for further practice:
1. Convert 500 mg to grams.
2. Convert 10 miles to kilometers.
3. If you travel 6,500 km, how many frequent flyer miles will you earn?
4. Convert 5 tons to kilograms.
5. Solve for the volume when \( l = 15 \, \text{cm}, w = 25 \, \text{cm}, h = 12 \, \text{cm} \).

**Tip:** Always ensure all units are consistent before performing calculations!

When solving for the volume: V= lwh Where: l is length, w is width, h is height. Unit of measurement is cubic centimeter or liter. Practice exercises: 1. How many grams of Aspirin are contained in 325 mg tab? The distance between Honolulu, Hawaii and Los Angeles, CA is 4,120 km. How many frequent flyer miles will you earn by travelling between two cities? Carry out each of the following conversions: 3. 25L to dL, 4. 40 oz to g, 5. 32 inches to cm, 6. 1000km to mm, 7. 384 ft to inches, 8. 67 lbs to kg, 10. 2 tons to kg. Solve for the volume: 11. l = 86 cm w= 50 cm h=105 cm, 12. l = 6 inches w= 30cm h= 8 inches

Solve a variety of unit conversion problems such as 25L to dL, 67 lbs to kg, and calculate volume using the formula V = l × w × h. This guide covers key mathematical concepts like basic arithmetic and metric conversions. Suitable for Grades 6-8.

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