Solution:
The volume of rectangular pyramid is given as:
[tex]Volume = \frac{1}{3} \times base\ area \times height[/tex]
Given that,
Rectangular pyramid has a volume of 190 cubic centimeters
[tex]190= \frac{1}{3} \times base\ area \times height[/tex]
Substitute, base area = 570 and height = 1
Then we get,
[tex]190 = \frac{1}{3} \times 570 \times 1\\\\190 = 190[/tex]
Thus one possible set for the base area and height of the pyramid is 570 cm and 1 cm respectively
Substitute, base area = 285 and height = 2
[tex]190 = \frac{1}{3} \times 285 \times 2\\\\190 = \frac{1}{3} \times 570\\\\190 = 190[/tex]
Thus other possible set for the base area and height of the pyramid is 285 cm and 2 cm respectively
