Respuesta :

Answer:

[tex]Volume = 6248.48 m^{3}[/tex]

Explanation:

Given:

The area of the house [tex]A = 2050\ ft^{2}[/tex]

The height of the house [tex]h=10\ ft[/tex]

We need to find the volume of a typical house.

Solution:

We find the volume of the house by multiplying the area of the house and height of the house.

[tex]Volume = Area\times height[/tex]

[tex]Volume = A\times h[/tex]

Area and height of the house are known, so we substitute these value in above equation.

[tex]Volume = 2050\times 10[/tex]

[tex]Volume = 20500\ ft^{3}[/tex]

Now we convert the unit from feet to meter.

Divide the volume by 3.2808 for [tex]m^{3}[/tex]

[tex]Volume = \frac{20500}{3.2808}[/tex]

[tex]Volume = 6248.48\ m^{3}[/tex]

Therefore, the volume of the house is [tex]6248.48 m^{3}[/tex]