Answer to Question #84883 in Mechanics | Relativity for Mai

Question

A house is 50.0 ft long and 26 ft wide and has 8.0-ft-high ceilings. What is the volume of the interior of the house in cubic meters and in cubic centimeters?

Answer 1

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

$$V = a \cdot b \cdot c,$$

here,

$$a$$

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:

$$V = a \cdot b \cdot c = 50 ft \cdot 26 ft \cdot 8 ft = 10400 ft^3.$$

Let's convert cubic feet into cubic meters:

$$10400 ft^3 \cdot \frac{(0.3048 m)^3}{(1 ft^3 )} = 294.49 m^3.$$

Let's convert cubic feet into cubic centimeters:

$$10400 ft^3 \cdot \frac{(30.48 cm)^3}{(1 ft^3 )} = 294.49 \cdot 10^6 cm^3.$$

Answer:

$$V = 10400 ft^3 = 294.49 m^3 = 294.49 \cdot 10^6 cm^3$$

.