Answer:
3 units
Explanation :
Volume of an oblique rectangular prism with a square base = A×B×h
Where h = perpendicular height
From the question, Volume of an oblique rectangular prism with a square base = 539 cubic units
We were asked from the question to find how many units longer the slanted edge length of the prism, 14 is compared to its perpendicular height.
The first step is : Find the perpendicular height
Edges A = 7 units
Edges B = 7 units
Perpendicular height ?
Hence,
539 = 7 × 7 × h
539 = 49h
h = 539 ÷ 49
h = 11 units
Therefore, perpendicular height of the prism = 11 units
To find how many units longer, we would subtract the perpendicular height of the prism from the slanted edge length of the prism
= 14 units - 11 units
= 3 units .
Therefore the slanted edge length of the prism , 14, is 3 units longer compared to its perpendicular height.
