Question

how many square centimeters are in an area of 3.40 inch²? express your answer numerically in square centimeters. view available hint(s) area = cm² submit part d convert a volume of 7650 cm³ to cubic meters. express your answer numerically in cubic meters. view available hint(s)

Explanation:

Step1: Recall area - conversion factor

1 inch = 2.54 cm, so 1 inch²=(2.54 cm)² = 6.4516 cm².

Step2: Convert 3.40 inch² to cm²

Multiply 3.40 by the conversion - factor. area = 3.40×6.4516 cm².
area = 21.93544 cm².

Step3: Recall volume - conversion factor

1 m = 100 cm, so 1 m³=(100 cm)³ = 1000000 cm³ or 1 cm³ = 1×10⁻⁶ m³.

Step4: Convert 7650 cm³ to m³

Multiply 7650 by the conversion - factor. volume = 7650×1×10⁻⁶ m³ = 0.00765 m³.

Answer:

area = 21.9 cm²
volume = 0.00765 m³