What is the product of multiplying the following values together?

(Note: First identify the correct number of significant figures (SF) and then round the answer correctly.  Hint: when multiplying and dividing, the smallest number of significant figues given in the problem is the number of significant figures that should be reported in the final answer. )

Example Problem: 3.4 m x 6 m = 20 m2 , SF = 1

SF =

30.0 m x 0.15 m x 15 m =     m3

Blank 1:
Blank 2:

Let's solve the problem step by step, ensuring that we identify the correct number of significant figures and round the final answer appropriately.

### Step 1: Identify the number of significant figures (SF) for each value
- \( 30.0 \, \text{m} \): This has **3 significant figures** (the trailing zero after the decimal point counts).
- \( 0.15 \, \text{m} \): This has **2 significant figures**.
- \( 15 \, \text{m} \): This has **2 significant figures**.

The rule for multiplication states that the result should be rounded to the same number of significant figures as the value with the fewest significant figures, which is **2 significant figures**.

### Step 2: Multiply the values together
\[
30.0 \, \text{m} \times 0.15 \, \text{m} \times 15 \, \text{m} = 67.5 \, \text{m}^3
\]

### Step 3: Round the result to 2 significant figures
The result, 67.5 m³, rounded to **2 significant figures** is **68 m³**.

### Final Answers:
- **Blank 1 (SF)**: 2
- **Blank 2 (Final Answer)**: 68 m³

Would you like more details on any part of the process?

Here are five related questions for practice:
1. What is the product of 4.50 m × 2.2 m × 6.0 m?
2. Multiply 3.00 m × 0.044 m × 123 m and round to the correct significant figures.
3. Calculate the volume: 5.60 m × 0.034 m × 12.3 m.
4. What is the result of 7.0 m × 3.22 m × 1.1 m with proper significant figures?
5. Multiply 0.014 m × 345 m × 12.0 m and round appropriately.

**Tip**: When performing operations like multiplication or division, always focus on the value with the fewest significant figures to determine the precision of your final result.

What is the product of multiplying the following values together? 30.0 m x 0.15 m x 15 m = ? m3 (Hint: First identify the correct number of significant figures and round the answer correctly)

Solve the problem of multiplying 30.0 m, 0.15 m, and 15 m while applying the rules of significant figures. Learn how to round to the correct number of significant figures and follow the multiplication process for this type of physics problem, suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation