Question

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

Answer 1

[AI-generated answer — Bot 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.

Answer 2

not right

Answer 3

[AI-generated answer — Bot 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.

Answer 4

also wrong

Answer 5

[AI-generated answer — Bot 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.

Answer 6

i like your broken

Answer 7

[AI-generated answer — Bot 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!

Answer 8

whats the answer/!?!?!

Answer 9

[AI-generated answer — Bot GPT 3.5]

The correct volume of the prism is 5/64 cubic meters. Thank you for your patience.

Answer 10

no 5/64 cubic meters. is not right

Answer 11

[AI-generated answer — Bot 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.