Respuesta :
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
3 units longer are the slanted edge length of the prism 14 units compared to its perpendicular height
What is the area of the rectangle?
It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We have :
A rectangular prism with a square base has a volume V = 539 cubic units.
Edges of the prism measures are 7×7×14 units
Let's suppose the edge a = 7, edge b = 7
We know the volume of the rectangular prism is given by:
V = a×b×h
539 = 7×7×h (V = 539 cubic units, a = 7 units, and b = 7 units)
h = 11 inches
Now difference of 14 - 11 = 3 units
Thus, 3 units longer are the slanted edge length of the prism 14 units compared to its perpendicular height.
Learn more about the area here:
brainly.com/question/14383947
