Answer:
The length of the base edge is 3 cm
Step-by-step explanation:
Volume of square pyramid =[tex]\frac{1}{3}BH[/tex]
Where B = area of square base
H = Height
Let the length of base edge be x
Area of base = [tex]Side^2 = x^2[/tex]
Height of pyramid = 5 cm
So,Volume of square pyramid =[tex]\frac{1}{3}BH=\frac{1}{3} \times x^2 \times 5[/tex]
We are given that The volume of a square pyramid is 15 cubic centimeters.
So,[tex]\frac{1}{3} \times x^2 \times 5=15[/tex]
[tex]x^2 = \frac{15 \times 3}{5}[/tex]
[tex]x=\sqrt[2]{\frac{15 \times 3}{5}}[/tex]
x=3
Hence the length of the base edge is 3 cm
