zgmae
zgmae zgmae
  • 14-02-2019
  • Mathematics
contestada

What is the volume of the figure below?​

What is the volume of the figure below class=

Respuesta :

gmany
gmany gmany
  • 19-02-2019

Answer:

[tex]\large\boxed{V=180\ cm^3}[/tex]

Step-by-step explanation:

The formula of a volume of a pyramid:

[tex]V=\dfrac{1}{3}A_BH[/tex]

[tex]A_B-area\ of\ a\ base\\H-height[/tex]

In the base we have the right teingle with legs 5cm and 12cm.

The formula of an area of a right triangle:

[tex]A=\dfrac{1}{2}(leg)(leg)[/tex]

Substitute:

[tex]A_B=\dfrac{1}{2}(5)(12)=(5)(6)=30\ cm^2[/tex]

The height of a pyramid H = 18 cm. Substitute:

[tex]V=\dfrac{1}{3}(30)(18)=(10)(18)=180\ cm^3[/tex]

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