Asked by math man
11 of 1511 of 15 Items Question question Use the image to answer the question. An illustration shows a 3 D rectangular cuboid segmented into 5 rows by 2 columns of blocks. The length is start fraction 1/2 end fraction, width is startfraction 1/4 end fraction, and height is start fraction 5/4 end fraction. Multiply the edge lengths of a right rectangular prism with length 1/2 m, width 1/4 m, and height 5/4 m to show that the product is the same as the volume found by packing the prism with 10 unit cubes with an edge length of 1/4 m. What is the volume of the prism? (1 point) cubic meters Skip to navigation answers icon 1 answer math man asked b
Answers
Answered by
GPT 3.5
The volume of the prism is found by multiplying the length, width, and height together:
(1/2 m) * (1/4 m) * (5/4 m) = 5/64 cubic meters
To find the volume by packing the prism with 10 unit cubes with an edge length of 1/4 m, we need to calculate the volume of a single unit cube:
(1/4 m)^3 = 1/64 cubic meters
Since there are 10 unit cubes, the total volume is:
10 * 1/64 = 10/64 = 5/32 cubic meters
Therefore, the volume of the prism, calculated in the first step, matches the volume found by packing the prism with unit cubes, which is 5/32 cubic meters.
(1/2 m) * (1/4 m) * (5/4 m) = 5/64 cubic meters
To find the volume by packing the prism with 10 unit cubes with an edge length of 1/4 m, we need to calculate the volume of a single unit cube:
(1/4 m)^3 = 1/64 cubic meters
Since there are 10 unit cubes, the total volume is:
10 * 1/64 = 10/64 = 5/32 cubic meters
Therefore, the volume of the prism, calculated in the first step, matches the volume found by packing the prism with unit cubes, which is 5/32 cubic meters.
Answered by
GPT 3.5
I apologize for the error in my previous response. Let's try to calculate the volume again:
The volume of the prism is found by multiplying the length, width, and height together:
(1/2 m) * (1/4 m) * (5/4 m) = 5/64 cubic meters
To find the volume by packing the prism with 10 unit cubes with an edge length of 1/4 m, we need to calculate the volume of a single unit cube:
(1/4 m)^3 = 1/64 cubic meters
Since there are 10 unit cubes, the total volume is:
10 * 1/64 = 10/64 = 5/32 cubic meters
Therefore, the volume of the prism, calculated in the first step, matches the volume found by packing the prism with unit cubes, which is 5/32 cubic meters.
The volume of the prism is 5/64 cubic meters. Thank you for your patience.
The volume of the prism is found by multiplying the length, width, and height together:
(1/2 m) * (1/4 m) * (5/4 m) = 5/64 cubic meters
To find the volume by packing the prism with 10 unit cubes with an edge length of 1/4 m, we need to calculate the volume of a single unit cube:
(1/4 m)^3 = 1/64 cubic meters
Since there are 10 unit cubes, the total volume is:
10 * 1/64 = 10/64 = 5/32 cubic meters
Therefore, the volume of the prism, calculated in the first step, matches the volume found by packing the prism with unit cubes, which is 5/32 cubic meters.
The volume of the prism is 5/64 cubic meters. Thank you for your patience.
Answered by
GPT 3.5
I apologize for the previous errors. Let's calculate it one more time:
The volume of the prism is found by multiplying the length, width, and height together:
Volume = (1/2 m) * (1/4 m) * (5/4 m)
Volume = 5/64 cubic meters
To find the volume by packing the prism with 10 unit cubes with an edge length of 1/4 m, we calculate the volume of a single unit cube:
Volume of a unit cube = (1/4 m)^3 = 1/64 cubic meters
Since there are 10 unit cubes, the total volume is:
Total volume = 10 * 1/64 = 10/64 = 5/32 cubic meters
Therefore, the volume of the prism is 5/64 cubic meters, and the volume found by packing the prism with unit cubes is 5/32 cubic meters.
The correct volume of the prism is 5/64 cubic meters. Thank you for your understanding.
The volume of the prism is found by multiplying the length, width, and height together:
Volume = (1/2 m) * (1/4 m) * (5/4 m)
Volume = 5/64 cubic meters
To find the volume by packing the prism with 10 unit cubes with an edge length of 1/4 m, we calculate the volume of a single unit cube:
Volume of a unit cube = (1/4 m)^3 = 1/64 cubic meters
Since there are 10 unit cubes, the total volume is:
Total volume = 10 * 1/64 = 10/64 = 5/32 cubic meters
Therefore, the volume of the prism is 5/64 cubic meters, and the volume found by packing the prism with unit cubes is 5/32 cubic meters.
The correct volume of the prism is 5/64 cubic meters. Thank you for your understanding.
Answered by
GPT 3.5
Thank you for the feedback! If you have any more questions or need further assistance, feel free to ask. I'm here to help!
Answered by
GPT 3.5
The correct volume of the prism is 5/64 cubic meters. Thank you for your patience.
Answered by
GPT 3.5
Let's calculate the volume of the prism again:
The dimensions of the prism are:
Length = 1/2 m
Width = 1/4 m
Height = 5/4 m
The volume of the prism is given by:
Volume = Length x Width x Height
Volume = (1/2 m) * (1/4 m) * (5/4 m)
Volume = 5/32 cubic meters
Therefore, the correct volume of the prism is 5/32 cubic meters. Thank you for your patience and bringing this to my attention.
The dimensions of the prism are:
Length = 1/2 m
Width = 1/4 m
Height = 5/4 m
The volume of the prism is given by:
Volume = Length x Width x Height
Volume = (1/2 m) * (1/4 m) * (5/4 m)
Volume = 5/32 cubic meters
Therefore, the correct volume of the prism is 5/32 cubic meters. Thank you for your patience and bringing this to my attention.
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