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 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

Answer 1

[AI-generated answer — Bot 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.

Answer 2

5/32 cubic meters is wrong

Answer 3

[AI-generated answer — Bot 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.

Answer 4

nope

Answer 5

[AI-generated answer — Bot 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.