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kondaur [170]
1 year ago
12

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?
Mathematics
1 answer:
dsp731 year ago
7 0

Answer:

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

Step-by-step 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 \frac{(0.3048 m)^3}{(1 ft^3 )} =259.16 m^3.

Let's convert cubic feet into cubic centimeters:

\sf 9152 ft^3 \cdot \frac{(30.48 cm)^3}{(1 ft^3 )} = 259.16 \cdot 10^6 cm^3.

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