A house is 46.0 ft long and 50 ft wide, and has 8.0-ft-high ceilings. what is the volume of the interior of the house in cubic meters and cubic centimeters

Volume of house = 46*50*8=18400 ft^3

Each foot equals 0.3048 m. (exactly).

Therefore 1 ft^3 = 0.3048^3 m^3

Therefore volume of the interior of the house

= 18400 ft^3 *.3048^3 m^3/ft^3

=18400*.3048^3 m^3

=521.0299772928 m^3

=521 m^3 (nearest m^3) ... (a)

or, in cubic centimeters

=521 m^3 * (100cm/m) ^3

=521.0299772928 * 100^3 cm^3

=521029977.2928 cm^3

=521029977 cm^3 (nearest cm^3) ... (b)

Answer: see (a) and (b).