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Question

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?

(1 point)
m3

Answer 1

The total volume of the corner store can be found by calculating the volume of each rectangular prism separately and then adding them together.

Volume of horizontal rectangular prism:
Length = 30m
Width = 6m
Height = 9m

Volume = Length x Width x Height
Volume = 30m x 6m x 9m
Volume = 1,620 m3

Volume of smaller perpendicular rectangular prism:
Length = 21m
Width = 6m
Height = 9m

Volume = Length x Width x Height
Volume = 21m x 6m x 9m
Volume = 1,134 m3

Total volume of the corner store:
1,620 m3 + 1,134 m3
Total volume = 2,754 m3

Therefore, the total volume of the corner store is 2,754 m3.