Therefore, The Volume of ORNAMENT ( B ) is 5^3 = 125 TIMES LARGER than the VOLUME of ORNAMENT ( A ).
Hence, The VOLUME of ORNAMENT (B) is 125 TIMES LARGER than the VOLUME of ORNAMENT (A).
MAKE A PLAN:
We know that the Height of ORNAMENT ( B ) is FIVE (5) Times Larger than the Height of ORNAMENT ( A ). We need to Find the Ratio of their Volumes.
1) - Let the height of Ornament ( A ) be hA and the height of Ornament
( B ) be, hB
2) - We know the hB = 5 * hA
3) - Since the Ornaments are Mathematically Similar, Their Volumes are Proportional to the Cube of their heights.
4) - Calculate The Ratio of their Volumes:
(hB )^3 / (hA )^3 (5 * hA )^3 / (hA )^3
Therefore, The Volume of ORNAMENT ( B ) is 5^3 = 125 TIMES LARGER than the VOLUME of ORNAMENT ( A ).
Hence, The VOLUME of ORNAMENT (B) is 125 TIMES LARGER than the VOLUME of ORNAMENT (A).
I hope this helps you!