Final answer:
To find the width of a room in centimeters if it is 32 feet across, multiply 32 feet by 12 to convert to inches, then multiply the result by 2.54 to convert inches to centimeters. The room is 975.36 centimeters wide.
Step-by-step explanation:
To convert the width of a room from feet to centimeters, you follow a two-step conversion process using unit equivalences. The room is 32 feet across, and to convert this measurement to centimeters, you first convert feet to inches and then inches to centimeters.
Step 1: Convert feet to inches using the equivalence 1 foot = 12 inches. So, you multiply 32 feet by 12 inches per foot:
32 feet × 12 inches/foot = 384 inches.
Step 2: Convert inches to centimeters using the equivalence 1 inch = 2.54 centimeters. So, you multiply 384 inches by 2.54 centimeters per inch:
384 inches × 2.54 cm/inch = 975.36 centimeters.
Therefore, the room is 975.36 centimeters wide.