Question

Rahul makes a cuboid of plasticine of sides 3 cm x 3 cm x 5 cm. How many such
cuboids will he need to form a cude?


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Answer 1

75

Step-by-step explanation:

5×5×3:75

Please give me brainliest

Answer 2

Answer:

75

Step-by-step explanation:

we know that a cube will have equal sides

that is if the length of one side is ‘A’

then its dimensions are A×A×A

Now we need to make a cube using 3×3×5 cuboids

Since from the dimensions of the cuboid we have two different numbers, they are 3 and 5

Now we need to find a least number. which is a multiple of both numbers, for this we can multiply thise numbers so that we can get the least number which is a multiple of those two.

3×5=15

Now imagine int the following way

1)Keep one the 3×3 faces in front of you, now the side of length 5 is perpendicular to your body surface.

2)Now clone up this cuboid one upon one so that the resultant height becomes 15, since we are stacking cuboids of dimensions 3×3×5 one upon one keeping 3×3 on your face, the resultant height will be a multiple of 3

=>n(1)×3=15

=>n(1)=5

so u need to clone the cuboid vertically 5 times

3)now the resulting 3d figure will be of dimensions 15×3×5, we got one side equal to 15,

now we need to get the other two sides equal to 15

4)for the second side, keeping. 15×3 face in front of you clone it horizontally in a direction away from you, if you do this the. length 5 will increase in multiples of 5,clone it till u get it equal to 15

=>n(2)×5=15

=>n(2)=3

so you need to clone it 3 times in your opposite direction

5)now you will be left with a new 3d figure of dimensions 15×3×15,

now clone this whole set so that. 3’s will add up to become 15,

=>n(3)×3=15

=>n(3)=5

you need to clone it 5 times in the horizontal plane in the other direction leaving your opposite direction

now you will get a cube of dimensions 15×15×15

6)now how many times you cloned a single cuboid is

=> n(1)×n(2)×n(3) = 5×3×5 = 15×3 = 75

so you need 75 cuboids to make a cube.