Pls help!!!

The tip of a probe has the shape of an inverted rectangular prism, as shown in the diagram.

How many cubic centimeters of titanium are needed to manufacture one tip?

Pls help The tip of a probe has the shape of an inverted rectangular prism as shown in the diagram How many cubic centimeters of titanium are needed to manufact class=

Respuesta :

Answer:

The area of the base B is equal to [tex]770\ cm^{2}[/tex]

The volume  is equal to [tex]10,087\ cm^{3}[/tex]

Step-by-step explanation:

I will proceed to resolve the problem indicated in the attached figure.

The figure shown a inverted rectangular pyramid

The base is a rectangle

The area of the base B is equal to

[tex]B=(35)(22)=770\ cm^{2}[/tex]

To find how many cubic centimeters of titanium are needed to manufacture one tip, calculate the volume of the figure

Find the volume of the inverted rectangular pyramid

The volume of the pyramid is equal to

[tex]V=\frac{1}{3}BH[/tex]

we have

[tex]B=770\ cm^{2}[/tex]

[tex]H=39.3\ cm[/tex]

substitute

[tex]V=\frac{1}{3}(770)(39.3)=10,087\ cm^{3}[/tex]