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.
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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