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7. how many cubic centimeters (cm³) are there in 1.00 in³? a. 0.0609 cm…

Question

  1. how many cubic centimeters (cm³) are there in 1.00 in³?

a. 0.0609 cm³
b. 2.54 cm³
c. 6.45 cm³
d. 16.4 cm³

Explanation:

Step1: Recall length conversion factor

$1\ \text{in} = 2.54\ \text{cm}$

Step2: Cube both sides for volume

$(1\ \text{in})^3 = (2.54\ \text{cm})^3$

Step3: Calculate the cubic value

$1\ \text{in}^3 = 2.54 \times 2.54 \times 2.54\ \text{cm}^3 = 16.387064\ \text{cm}^3$

Step4: Round to 3 significant figures

$16.387064\ \text{cm}^3 \approx 16.4\ \text{cm}^3$

Answer:

d. $16.4\ \text{cm}^3$