Question

Find the height of a square pyramid that has a volume of 12 cubic feet and a base length of 3 feet. (1 point) 1.5 feet 2 feet 3 feet 4 feet

Answer 1

Hey there!

Square pyramid is a pyramid constructed on a square base.

We know that,
Volume of square pyramid = a²h/3

Given,
Volume of the Square pyramid = 12 cubic feet.

Also, The Base length or edge of base = 3 feet

i. e,

V = 12ft³

a = 3ft

Now,

$\boxed{ V =\frac{(a^{2}h) }{3} }$

So,

=> 12 = a² * h / 3

=> 36 = a² * h

=> 36 = (3)² h

=> 36/9 = h

=> h = 4ft

Therefore , Height of the square pyramid is 4 Feet

Answer 2

Solution :-

Volume of the square pyramid = 12 cubic feet

Base length = 3 feet

We know that,

Volume of a square pyramid is (1/3) × (base area) × Height

⇒ 12 = (1/3) × (3*3) × Height

⇒ 12 = 9h/3

⇒ 9h = 12*3

⇒ 9h = 36

⇒ h = 36/9

⇒ Height = 4 feet

So, the height of the square pyramid is 4 feet.

Answer.