Answer:
12in
Step-by-step explanation:
Area and Volume (Proportion)
Base Area and Volume are proportionalised based on their Height.
Eg. Base Area of Cube = Length × Width
Volume of Cube = Length × Width × Height
Solution
Given from the Question:
Base Area of Pyramid =
[tex]25 \: {in}^{2} [/tex]
Volume of Pyramid =
[tex] \frac{1}{3} (base \: area)(height) = 100 {in}^{2} [/tex]
We already knew the Base Area, so we can substitute it into the Volume of Pyramid Formula to find the height.
[tex] \frac{1}{3} (25)(height) = 100 \\ height = \frac{100(3)}{25} \\ = 12in[/tex]
Therefore the height of the Pyramid is 12in.
