The height of the prism is 9 inches if the area of a cross-section perpendicular to the base of a rectangular prism is 45 square inches.
What is a rectangular prism?
It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
Please refer to the attached picture for the figure:
We have:
The area of a cross-section perpendicular to the base of a rectangular prism is 45 square inches.
As we know the area of the rectangular face = lengthxwidth
From the figure:
The area of the rectangular face = hx5
h is the height of the rectangular prism.
45 = hx5
h = 45/5
h = 9 inches
Thus, the height of the prism is 9 inches if the area of a cross-section perpendicular to the base of a rectangular prism is 45 square inches.
Learn more about the rectangular prism here:
brainly.com/question/21308574
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