Explanation: The volume of the right square pyramid is calculated using the following rule: V = (1/3)*h*a^2 where: V is the volume a is the length of the base h is the height We are given that the height = 8 in and volume = v, this means that: v = (1/3)*8*a^2 = (8/3)*a^2
Now, we will solve this equation for a as follows: v = (8/3)*a^2 3v = 8a^2 3v/8 = a^2 a = sqrt(3v/8) which is the first choice