A clothing company wants to ship more items per box. The length, width and height of the new boxes are all twice as long as those of the old
boxes
How does the volume of a new box compare to the volume of an old box?
O A The volume of the new box ls 2 times the volume of the old box.
OB The volume of the new box is 4 times the volume of the old box.
O c The volume of the new box is 6 times the volume of the old box
OD. The volume of the new box is 8 times the volume of the old box.

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acissej0289 acissej0289 · Answer 1 · 2020-10-22T16:12:00+02:00

Answer:

I believe the answer is A

Step-by-step explanation:

I say it's A because the volume is double like it told us. Compared to the new box it's twice as long as the old boxes.

I hope this helps! ~~~~

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PratikshaS PratikshaS · Answer 2 · 2022-05-20T00:15:32+02:00

The volume of the new box is 8 times the volume of the old box.

The correct answer is option (D).

The volume of a rectangular box with length L, width W and height H is,

V = L × W × H

Given: -

Let [tex]l,w,h[/tex] represents the length, width and height of the old rectangular boxes.

Let [tex]V_o[/tex] represents the volume of the old rectangular box.

⇒ [tex]V_o=l\times w \times h[/tex]

The length, width and height of the new boxes are all twice as long as those of the old boxes.

This means the length, width and height of the new boxes would be [tex]2l,2w,2h[/tex].

Let [tex]V_n[/tex] represents the volume of the new rectangular box.

So, the volume of the new rectangular box would be,

⇒ [tex]V_n=2l \times 2w \times 2h[/tex]

⇒ [tex]V_n = 8 \times l \times w \times h[/tex]

⇒ [tex]V_n=8 \times V_o[/tex]

This means, the volume of the new box is 8 times the volume of the old box.

Hence, option (D) is the correct answer.

Learn more about rectangular prism here:

https://brainly.com/question/21308574

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