Respuesta :

luisejr77

Answer: [tex]16,362m^3[/tex]

Step-by-step explanation:

Calculate the volume of each rectangular prism wiht the formula:

[tex]V=l*w*h[/tex]

Where:

l: the length.

w: the width

h: the height.

Then, the volume of each one is:

[tex]V_1=(18m)(13m)(17m)=3,978m^3\\V_2=(18m)(13m)(16m)=3,744m^3\\V_3=(18m)(15m)(16m)=4,320m^3\\V_4=(18m)(15m)(8m)=4,320m^3[/tex]

Therefore, the volume of the figure is obtained by adding the volumes calculated above:

[tex]V_f=V_1+V_2+V_3+V_4\\V_f=3,978m^3+3,744m^3+4,320m^3+4,320m^3\\V_f=16,362m^3[/tex]

raphealnwobi

The volume of the figure composed of four cubes is 16362 m³

What is volume?

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the cube placed on each other = (18 m * 13 m * (17 + 16)m) = 7722 m³

The volume of the cube placed side by side = (16 m * 15 m * (18 + 18)m) = 8640 m³

The volume of figure = 7722 m³ + 8640 m³ = 16362 m³

The volume of the figure composed of four cubes is 16362 m³

Find out more on volume at: https://brainly.com/question/12410983

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