Math, asked by sakshamsaarth, 3 months ago

Abox with volume 4096 cm is filled with cubes of
edge 2 cm. How many cubes are there in the box?​

Answers

Answered by itzcutiemisty
11

Answer:

512

Step-by-step explanation:

\underline{\bigstar\:\textsf{Given:}}

  • Volume of box = 4096 cm³
  • Edge of cube = 2 cm

\underline{\bigstar\:\textsf{To\:find:}}

  • No. of cubes in that box = ?

\underline{\bigstar\:\textsf{Solution:}}

Let's take analysis !

There's a box whose volume is 4096 cm³ and cubes of edge 2 cm are filled in that box. Now, we have to find how many cubes were there.

Let's find now !

Understand, if we divide the volume of box by the volume of cube we will get the no. of cubes that were there in the box.

\longrightarrow No. of cubes = \sf{\dfrac{Volume\:of\:box}{Volume\:of\:cube}}

We are given with volume of box, we have to find volume of cube.

\blue{\sf{Volume\:of\:cube\:=\:(edge)^3}}

\implies Volume of cube = (2)³

\implies Volume of cube = 8 cm³

{\small{\boxed{\sf{\therefore \:Volume \:of\:cube\:is\:8\:cm^3}}}}

Now, just divide them.

\implies\:\sf{No.\:of\:cubes\:=\:\dfrac{4096}{8}}

\implies No. of cubes = 512

{\large{\boxed{\sf{\therefore \:Number\:of\:cubes\:filled\:is\:512}}}}

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