To find the total volume of the corner store, we need to find the volume of both prisms and then add them together.
Volume of the horizontal prism:
Volume = length x width x height
Volume = 30m x 6m x 9m
Volume = 1,620 m^3
Volume of the smaller perpendicular prism:
Volume = length x width x height
Volume = 21m x 6m x 9m
Volume = 1,134 m^3
Total volume of the corner store:
Total volume = Volume of horizontal prism + Volume of smaller perpendicular prism
Total volume = 1,620 m^3 + 1,134 m^3
Total volume = 2,754 m^3
Therefore, the total volume of the corner store is 2,754 m^3.
An illustration shows a structure of a building shaped like an inverted letter upper L, formed by two rectangular perpendicular prisms to look like a two-winged building. The structure is 9 meters high. The horizontal rectangular prism has an overall length of 30 meters along the back edge. It has a width of 6 meters. Doors are drawn along the inside 24-meter length. The smaller perpendicular rectangular prism adjoins the horizontal prism along the right side and extends forward. It shows an inner length of 21 meters.
What is the total volume of this corner store?
Write your answer in: m^3
1 answer
1 answer