Question

Suppose your bedroom is 15 ft long, 16 ft wide, and the distance from floor to ceiling is 7 ft, 6 in. You need to know the volume of the room in metric units for some scientific calculations. What is the room's volume in cubic meters?

Answer 1

To find the volume of the room in cubic meters, the dimensions in feet and inches are converted to meters and then multiplied together, yielding a volume of approximately 51.099 m³.

Step-by-step explanation:

To calculate the volume of the room in cubic meters, first convert all measurements to meters. There are 0.3048 meters in a foot, and 0.0254 meters in an inch. The room's dimensions can thus be converted as follows:

• Length: 15 ft = 15 × 0.3048 m = 4.572 m
• Width: 16 ft = 16 × 0.3048 m = 4.8768 m
• Height: 7 ft 6 in = (7 × 0.3048 m) + (6 × 0.0254 m) = 2.1336 + 0.1524 = 2.286 m

The volume is the product of the length, width, and height:

V = Length × Width × Height
= 4.572 m × 4.8768 m × 2.286 m
= 51.099 m³

The volume of the room in cubic meters is approximately 51.099 m³.