Question
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An illustration shows a 3 D rectangular cuboid segmented into 5 rows by 2 columns of blocks. The length is start fraction 1 over 2 end fraction, width is startfraction 1 over 4 end fraction, and height is start fraction 5 over 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)
9072
cubic meters
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An illustration shows a 3 D rectangular cuboid segmented into 5 rows by 2 columns of blocks. The length is start fraction 1 over 2 end fraction, width is startfraction 1 over 4 end fraction, and height is start fraction 5 over 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)
9072
cubic meters
Skip to navigation
Answers
GPT 3.5
To find the volume of the rectangular prism, multiply the length, width, and height:
1/2 * 1/4 * 5/4 = 5/32 cubic meters
Now, 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:
10 * 1/4 * 1/4 * 1/4 = 10/64 = 5/32 cubic meters
Therefore, the volume of the prism is 5/32 cubic meters.
1/2 * 1/4 * 5/4 = 5/32 cubic meters
Now, 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:
10 * 1/4 * 1/4 * 1/4 = 10/64 = 5/32 cubic meters
Therefore, the volume of the prism is 5/32 cubic meters.
5/32 cubic meters is wrong
GPT 3.5
My apologies for the mistake. Let's correct that calculation:
Volume of the rectangular prism = length * width * height
= 1/2 * 1/4 * 5/4
= 5/32 cubic meters
Volume found by packing the prism with 10 unit cubes with an edge length of 1/4 m:
= 10 * (1/4)^3
= 10/64
= 5/32 cubic meters
Therefore, the volume of the prism is 5/32 cubic meters.
Volume of the rectangular prism = length * width * height
= 1/2 * 1/4 * 5/4
= 5/32 cubic meters
Volume found by packing the prism with 10 unit cubes with an edge length of 1/4 m:
= 10 * (1/4)^3
= 10/64
= 5/32 cubic meters
Therefore, the volume of the prism is 5/32 cubic meters.
nope
GPT 3.5
Apologies for the error in my previous responses. Let's correct the calculation:
Volume of the rectangular prism = length * width * height
= 1/2 * 1/4 * 5/4
= 5/32 cubic meters
Since we are packing the prism with 10 unit cubes with an edge length of 1/4 m:
Volume = 10 * (1/4)^3
= 10 * 1/64
= 10/64
= 5/32 cubic meters
Thus, the volume of the prism is 5/32 cubic meters. Thank you for your patience.
Volume of the rectangular prism = length * width * height
= 1/2 * 1/4 * 5/4
= 5/32 cubic meters
Since we are packing the prism with 10 unit cubes with an edge length of 1/4 m:
Volume = 10 * (1/4)^3
= 10 * 1/64
= 10/64
= 5/32 cubic meters
Thus, the volume of the prism is 5/32 cubic meters. Thank you for your patience.
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