Compare the volumes of the rectangular prisms shown below. Which of the containers will hold more, X or Y? In your final answer, include all of your calculations.

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BestC3P0 BestC3P0 · Answer 1 · 2018-03-12T19:09:59+01:00

X will be your answer because 6X3X7=126=X 11X2X5=110=y, X>Y. Brainliest?

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PratikshaS PratikshaS · Answer 2 · 2022-06-21T16:13:54+02:00

The volumes of the rectangular prism 'X' (126 cu.cm.) is greater than the volumes of the rectangular prism 'Y' (110 cu.cm.).

[tex]V=l\times w\times h[/tex]

where, 'l' be the length of the rectangular prism,

'w' is the width of the rectangular prism,

'h' is the height of the rectangular prism

For given question,

We have been given two rectangular prisms 'X' and 'Y'.

The dimensions of the rectangular prism 'X',

[tex]l=7~cm,w=3~cm,h=6~cm[/tex]

Using the formula for the volume of the rectangular prism,

[tex]\Rightarrow V=l\times w\times h\\\\\Rightarrow V=7\times 3\times 6\\\\\Rightarrow V=126~cu.cm.[/tex] ...................(i)

The dimensions of the rectangular prism 'Y',

[tex]l=5~cm,w=2~cm,h=11~cm[/tex]

Using the formula for the volume of the rectangular prism,

[tex]\Rightarrow V=l\times w\times h\\\\\Rightarrow V=5\times 2\times 11\\\\\Rightarrow V=110~cu.cm.[/tex] ...............(ii)

From (i) and (ii),

the volume of the rectangular prism 'X' is greater than the volume of the rectangular prism 'Y'.

Therefore, the volume of the rectangular prism 'X' (126 cu.cm.) is greater than the volume of the rectangular prism 'Y' (110 cu.cm.)

Learn more about the volume of the rectangular prism here:

https://brainly.com/question/21308574

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