15 inches is the height of the pyramid
Step-by-step explanation:
The volume of a cube is a³
Given a = 5 inches
→ Volume = a³
= 5³
= 5×5×5
= 125 in²
The volume of a pyramid is [tex] \frac{1}{3} {a}^{2}h[/tex]
Given a = 5 inches , h = height of pyramid
[tex] = > \frac{1}{3} {a}^{2} h[/tex]
[tex] = > \frac{1}{3}(5)^{2}h[/tex]
[tex] = > \frac{1}{3} \times 25 \times h[/tex]
[tex] = > \frac{25}{3}h[/tex]
then,
[tex]125 = \frac{25h}{3}[/tex]
[tex] = > 25h = 125 \times 3[/tex]
[tex] = > 25h = 375[/tex]
[tex] = > h = \frac{375}{25} [/tex]
[tex] = > h = 15[/tex]
Hence, the height of pyramid is 15 inches
