contestada

Instructions:Select the correct answer from each drop-down menu.

The volume of the pyramid shown in the figure is cubic centimeters. If the slant height of the pyramid increases by 4 centimeters and its height increases by 2 centimeters, the volume of the pyramid increases by cubic centimeters

InstructionsSelect the correct answer from each dropdown menu The volume of the pyramid shown in the figure is cubic centimeters If the slant height of the pyra class=

Respuesta :

calculista

Answer:

Part a) The volume of the original pyramid is [tex]15\ cm^{3}[/tex]

Part b) The volume of the pyramid increases by  [tex]6\ cm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

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

where

B is the area of the base

h is the height of pyramid

Step 1

Find the volume of the original pyramid

the area of the base B is equal to

[tex]B=3^{2}=9\ cm^{2}[/tex]

[tex]h=5\ cm[/tex]

substitute

[tex]V=\frac{1}{3}(9)(5)=15\ cm^{3}[/tex]

Step 2

Find the volume of the new pyramid

[tex]B=9\ cm^{2}[/tex] -------> the area of the base is the same

[tex]h=5+2=7\ cm[/tex] ------> the height increase by [tex]2\ cm[/tex]

substitute

[tex]V=\frac{1}{3}(9)(7)=21\ cm^{3}[/tex]

Subtract the original volume from the new volume

[tex]21\ cm^{3}-15\ cm^{3}=6\ cm^{3}[/tex]

Answer:

the first drop down is 15 and the second drop down is 6 if you are confused

Step-by-step explanation:

Otras preguntas