11. The volume of a pyramid is equal to1the product of the altitude and the area of the base. If the area of the base3remains the same and the altitude is doubled, the volume Please help

11 The Volume Of A Pyramid Is Equal To1the Product Of The Altitude And The Area Of The Base If The Area Of The Base3remains The Same And The Altitude Is Doubled class=

Sagot :

Answer:

Double

Explanation:

[tex]\text{Volume of a Pyramid=}\frac{1}{3}\times Base\text{ Area}\times Altitude[/tex]

If the area of the base remains the same and the altitude is doubled, we have:

[tex]\begin{gathered} New\; Volume=\frac{1}{3}\times\text{Base Area}\times(2\times Altitude) \\ =2\times(\frac{1}{3}\times\text{Base Area}\times Altitude) \\ =2\times\text{Old Volume} \end{gathered}[/tex]

Thus, if the area of the base remains the same and the altitude is doubled, the volume will double,