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 start fraction 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)
cubic meters
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5/32 is wrong
5/64 is worng

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the volume of the rectangular prism, multiply the length, width, and height together:

(1/2) * (1/4) * (5/4) = 5/32

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 * 1/64 = 10/64 = 5/32

So, the volume of the rectangular prism is 5/32 cubic meters.