Answer:
x = 10 cm
Step-by-step explanation:
The volume of a pyramid is [tex]V = \frac{Bh}{3}[/tex], where V = volume, B = area of base, and h = height.
- We're given the height as 14 cm
- We're given the volume as 280 cubic cm
- We're given one of the dimensions of the rectangle as 6 cm
- [tex]280= \frac{(14)(6)(x)}{3}[/tex]
Step 1: Multiply both sides by 3.
- [tex]280*3=\frac{84x}{3} *3[/tex]
- [tex]840=84x[/tex]
Step 2: Divide both sides by 84.
- [tex]840/84=84x/84[/tex]
- [tex]x=10[/tex]
Step 3: Check if solution is correct.
- 10 * 6 * 14 = 840
- 840/3 = 280
Therefore, x = 10 cm.
