Math, asked by 000374, 4 months ago

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Answered by Anarghya123
1

Answer:

Q1. The volume of cube is greater than the volume of cuboid. Volume of cube= 343 cm^{3} and Volume of cuboid= 224 cm^{3}

Q2. 30 cubical boxes can be accommodated in the cuboid-shaped box.

Step-by-step explanation:

Q1. This is simple actually. You don't have to think much. They just asked to find out the volume of both the shapes, i.e., cube and cuboid (I think the table part in the Q is to be ignored). We get the volume of both and then compare it. Voila! Seems like the cube had a bigger volume, so that's your answer.

Q2. The formula to find the volume of cube= side x side x side

The side given here= 5 cm

Therefore, Volume of cube= 5 x 5 x 5

                                            = 125 cm^{3}

To find how much the cuboid-shaped box can accomodate, we first found the volume of the box that is going to be fit inside the cuboid box. 2nd, we find the volume of the cuboid shaped box that is going to accomodate the cubical boxes since we need to know how much it'd be able to accommodate.

Volume of cuboid (carton box)= length x breadth x height

                                                  = 25 x 10 x 15

                                                  = 3750 cm^{3}

Now, we know how much space it has to accomodate the boxes but we got left to find out how much cubical boxes of volume 125 cm^{3} will fit.

Therefore, No. of cubical boxes that can be accomodated= \frac{3750}{125}

Note: The volume of the cubical box is the volume of each not all.

That gives us, 30.

Hence, 30 cubical boxes would fit/ be accommodated in the carton box.

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Hope this helps you, mate! :)

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Answered by YuvrajSinghKashyap
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