The amount of concrete used in the stairway = volume of the stairway which is: A. 2,160 in.³.
How to Find the Volume of a Rectangular Prism?
A rectangular prism with a given height, width, and length, has a volume that can be calculated as: Volume (V) = (length)(width)(height).
The stairway can be decomposed into two rectangular prisms. Therefore, find the volume of each rectangular prism-shaped stairway in order to determine the concrete used in the stairway.
Volume of the larger rectangular prism = (length)(width)(height) = (10)(12)(6 + 6)
Volume of the larger rectangular prism = (10)(12)(12)
Volume of the larger rectangular prism = 1,440 in.³
Volume of the smaller rectangular prism = (length)(width)(height) = (10)(12)(6)
Volume of the smaller rectangular prism = 720 in.³.
Amount of concrete used in the stairway = volume of the stairway = 1,440 + 720
Amount of concrete used in the stairway = volume of the stairway = 2,160 in.³.
The answer is: A. 2,160 in.³.
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