Answer: In the oblique rectangular prism with a base square, the slanted edge length is 3 units longer compared to its perpendicular height.
Answer. Third option: 3 units
Solution:
Volume of the oblique rectangular prism: V=539 cubic units
Square base, with edge a=7 units
Slanted edge length: s=14 units
How many units longer is the slanted edge length of the prism, 14, compared to its perpendicular height?
s-h=?
Perpendicular height of the prism: h=14 units
V=Ab h
Area of the base: Ab
Ab=a^2
Replacing a by 7 units in the formula above:
Ab=(7 units)^2
Ab=49 square units
V= Ab h
Replacing V by 539 cubic units and Ab by 49 square units in the formula above:
539 cubic units = (49 square units) h
Solving for h: Dividing both sides of the equation by 49 square units:
(539 cubic units) / (49 square units) = (49 square units) h / (49 square units)
11 units = h
h= 11 units
s-h=14 units-11 units
s-h=3 units
