Question

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

Answer 1

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

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