Question

a house is 52.0 ft long and 22.0 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?

Answer 1

`\sf V = 9152 ft^3 = 252.16 m^3 = 252.16 \cdot 10^6 cm^3`

Explanation:

We can find the volume of the interior of the house from the formula:

V = a • b • c,

where,

a

is the length of the house,

b

is the width of the house and

c

is the height of the house.

Let's first find the volume of the interior of the house in cubic feet:

`\sf \: V = a \cdot b \cdot c \\ \sf = 52 ft \cdot 22 ft \cdot 8 ft \\ \sf = 9,152ft^3. \\`

Let's convert cubic feet into cubic meters:

`\sf \: 9152ft^3 \cdot ((0.3048 m)^3)/((1 ft^3 )) =259.16 m^3.`

Let's convert cubic feet into cubic centimeters:

`\sf 9152 ft^3 \cdot ((30.48 cm)^3)/((1 ft^3 )) = 259.16 \cdot 10^6 cm^3.`