Find the height of the pyramid if the volume and the area are 90 cu. ft. and 30 sq. ft., respectively. A. 9 ft. B. 0.999 ft. C. 1 ft. D. 270 ft.

Respuesta :

Answer:

A. 9 ft

Step-by-step explanation:

Given that volume of the pyramid = 90 cu. ft.

Given that area of the base of the pyramid = 30 sq. ft.

Now we need to find about what is the height of the pyramid.

So plug the given values into formula of the volume of the pyramid

[tex]volume=\frac{1}{3}\left(Base\ Area\right)\left(Height\right)[/tex]

[tex]90=\frac{1}{3}\left(30\right)\left(Height\right)[/tex]

[tex]90=\left(10\right)\left(Height\right)[/tex]

[tex]\frac{90}{10}=Height[/tex]

[tex]9=Height[/tex]

Hence correct choice is A. 9 ft