# SAT Math Multiple Choice Question 834: Answer and Explanation

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**Question: 834**

Metal | Density (g/cm^{3}) |
---|---|

Copper | 8.96 |

Iron | 7.87 |

Nickel | 8.90 |

Tin | 7.26 |

**9.** The *density* of a substance can be found by dividing the mass of the substance by the volume ofthe substance. The table gives the density of several pure metals in grams per cubiccentimeter. Suppose a rectangular sheet of a pure metal weighs about 515.9 grams andmeasuresinch by 2 inches by 8 inches. Assuming the sheet is one of the metals in the table,which metal is it? (There are approximately 2.54 centimeters in 1 inch.)

- A. Copper
- B. Iron
- C. Nickel
- D. Tin

**Correct Answer:** B

**Explanation:**

**B**

**Difficulty:** Medium

**Category:** Problem Solving and Data Analysis / Rates, Ratios, Proportions, and Percentages

**Strategic Advice:** Always pay careful attention to units. When converting from a linear measure, such as inches, to a cubic measure, such as cm^{3} (or vice versa), you will need to write three unit conversions.

**Getting to the Answer:** Start by finding the volume of the metal sheet using the formula *V* = *lwh*. The volume is cubic inches. Now, carefully convert this to cubic centimeters:

Skim the question again: To find the density of the metal, divide the mass (given in the question) by the volume: 515.9 ÷ 65.55 ≈ 7.87, which matches the density of iron, (B).