Respuesta :

Answer: it’s C- 6cm

Step-by-step explanation:

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The height of the given pyramid is 6 cm, which has a volume of is 12 cm³.

What is the volume of a pyramid?

The volume of a pyramid is equal to one third of the product of the area of the base and the height.

Given, the length of the base = 3 cm.

The breadth of the base = 2 cm.

Therefore the area of the base = length × breadth= (3 × 2) cm² =6 cm².

Let, the height of the pyramid is = h cm.

Therefore, volume of the pyramid

= [tex]\frac{1}{3}[/tex] × area of the base × height

= [tex]\frac{1}{3}[/tex] × 6 × h cm³.

= 2h cm³.

Given,  the volume of the pyramid = 12 cm³.

Therefore, 2h = 12

⇒ h = 6.

Hence, the height is 6 cm.

Learn more about the volume of a pyramid here: https://brainly.com/question/15660483

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