Question

The cell of an amoeba had an estimated volume of 1075 µm3 (cubic micrometers). convert this volume to m3 (cubic meters).

A) 1.075×10 −15 m³
B) 1.075×10 −12m³
C) 1.075×10 −9m³
D) 1.075×10 −6m³

Answer 1

To convert the volume of 1075 µm³ to cubic meters, we multiply by (1 m³ / 1×10¹¸ µm³), resulting in 1.075 × 10¹¹ m³. This corresponds to option C: 1.075 × 10¹¹ m³.

Step-by-step explanation:

To convert the volume of an amoeba cell from cubic micrometers (µm³) to cubic meters (m³), we need to use the conversion factor 1 m³ = 1×10¹¸ µm³. Multiplying the given volume of 1075 µm³ by the conversion factor (1 m³ / 1×10¹¸ µm³) gives us the value in cubic meters.

1075 µm³ × (1 m³ / 1×10¹¸ µm³) = 1075 × 10¹¸ m³ = 1075 × 10¹µ ¹ = 1.075 × 10¹µ m³

Therefore, the cell volume of an amoeba converted to cubic meters is 1.075×10¹¹ m³, which corresponds to option C: 1.075×10¹¹ m³.