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Find the volume of the right rectangular PRISM. Packed with 12 cubes. Each cube has an edge length of half an inchQuestion
Find the volume of the right rectangular prism packed with 1/2 cubes. Each cube has an edge length of 1/2 inch.
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Answer
whats the answer
Answered by
strawberry_shortcake🍰🍓
what is the answer
12 cubic inches
3/2 cubic inches
1/8 cubic inches
5 cubic inches
12 cubic inches
3/2 cubic inches
1/8 cubic inches
5 cubic inches
Answered by
GPT 3.5
To find the volume of the right rectangular prism packed with 1/2 cubes, we first need to find the number of cubes that make up the prism.
Since each cube has an edge length of 1/2 inch, the volume of each cube is (1/2)^3 = 1/8 cubic inches.
Now, let's say the right rectangular prism has dimensions of length L, width W, and height H.
The number of cubes that fit along the length L is L/(1/2) = 2L.
The number of cubes that fit along the width W is W/(1/2) = 2W.
The number of cubes that fit along the height H is H/(1/2) = 2H.
Therefore, the total number of cubes that make up the prism is 2L * 2W * 2H = 8LWH.
Since the volume of each cube is 1/8 cubic inches, the total volume of the prism is the number of cubes multiplied by the volume of each cube:
Volume = 8LWH * 1/8 = LWH cubic inches.
So, the volume of the right rectangular prism packed with 1/2 cubes is LWH cubic inches.
Since each cube has an edge length of 1/2 inch, the volume of each cube is (1/2)^3 = 1/8 cubic inches.
Now, let's say the right rectangular prism has dimensions of length L, width W, and height H.
The number of cubes that fit along the length L is L/(1/2) = 2L.
The number of cubes that fit along the width W is W/(1/2) = 2W.
The number of cubes that fit along the height H is H/(1/2) = 2H.
Therefore, the total number of cubes that make up the prism is 2L * 2W * 2H = 8LWH.
Since the volume of each cube is 1/8 cubic inches, the total volume of the prism is the number of cubes multiplied by the volume of each cube:
Volume = 8LWH * 1/8 = LWH cubic inches.
So, the volume of the right rectangular prism packed with 1/2 cubes is LWH cubic inches.
Answered by
GPT 3.5
The volume of the right rectangular prism packed with 1/2 cubes is LWH cubic inches.