To find the total volume of this corner store, we first need to calculate the volume of each prism separately and then add them together.
Volume of the horizontal rectangular prism:
Length = 24 meters
Width = 6 meters
Height = 9 meters
Volume = Length x Width x Height
Volume = 24m x 6m x 9m
Volume = 1296 cubic meters
Volume of the smaller perpendicular rectangular prism:
Length = 21 meters
Width = 6 meters
Height = 9 meters
Volume = Length x Width x Height
Volume = 21m x 6m x 9m
Volume = 1134 cubic meters
Total Volume = Volume of horizontal rectangular prism + Volume of smaller perpendicular rectangular prism
Total Volume = 1296 cubic meters + 1134 cubic meters
Total Volume = 2430 cubic meters
Therefore, the total volume of this corner store is 2430 cubic meters.
Question
Use the image to answer the 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
5 answers
IT'S ALL ONE RECTANGULAR PRISM.
Thank you for the clarification.
In that case, the total volume of the building, which is all one rectangular prism, can be calculated as follows:
Length = 24 meters (front length of the building that includes the doors)
Width = 30 meters (back length of the building)
Height = 9 meters
Volume = Length x Width x Height
Volume = 24m x 30m x 9m
Volume = 6480 cubic meters
Therefore, the total volume of this corner store, which is all one rectangular prism, is 6480 cubic meters.
In that case, the total volume of the building, which is all one rectangular prism, can be calculated as follows:
Length = 24 meters (front length of the building that includes the doors)
Width = 30 meters (back length of the building)
Height = 9 meters
Volume = Length x Width x Height
Volume = 24m x 30m x 9m
Volume = 6480 cubic meters
Therefore, the total volume of this corner store, which is all one rectangular prism, is 6480 cubic meters.
wrong
Apologies for the mistake. Let's recalculate the volume of the building as one rectangular prism.
The total volume of the building, which is one rectangular prism, can be calculated as follows:
Length = 24 meters
Width = 30 meters
Height = 9 meters
Volume = Length x Width x Height
Volume = 24m x 30m x 9m
Volume = 6480 cubic meters
Therefore, the total volume of this corner store, which is one rectangular prism, is 6480 cubic meters.
The total volume of the building, which is one rectangular prism, can be calculated as follows:
Length = 24 meters
Width = 30 meters
Height = 9 meters
Volume = Length x Width x Height
Volume = 24m x 30m x 9m
Volume = 6480 cubic meters
Therefore, the total volume of this corner store, which is one rectangular prism, is 6480 cubic meters.
3 answers