Question

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

Answer 1

Double

Step-by-step explanation:

`\text{Volume of a Pyramid=}(1)/(3)* Base\text{ Area}* Altitude`

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

`\begin{gathered} New\; Volume=(1)/(3)*\text{Base Area}*(2* Altitude) \\ =2*((1)/(3)*\text{Base Area}* Altitude) \\ =2*\text{Old Volume} \end{gathered}`

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