Question

Amit makes a cuboid of plosticine of 5cm 2cm 5cm how many such cuboid will he need to form a cube

Answer 1

ǫᴜᴇsᴛɪᴏɴ :-

$\red{★}$Amit makes a cuboid of plosticine of 5cm, 2cm, 5cm.how many such cuboid will he need to form a cube?

ɢɪᴠᴇɴ :-

$\orange{★}$Amit makes a cuboid of plosticine of sides = 5cm,2cm,5cm.

ᴛᴏ ғɪɴᴅ :-

$\green{★}$How many such cuboid will he need to form a cube.

sᴏʟᴜᴛɪᴏɴ :-

${\bf</u><u>\</u><u>g</u><u>r</u><u>e</u><u>e</u><u>n</u><u>{ </u><u>➯</u><u>\</u><u>:</u><u>L</u><u>C</u><u>M</u><u> \: of \: 5</u><u>,</u><u>2</u><u>,</u><u>5 = 10 }}$

$\blue{★}$Therefore,each side of the cube will be 10 cm.

• Now,

${\bf\purple{➯\: Volume \: of \: the \: cuboid =(5 \times 2 \times 5)cubic \: cm. }}$

${\bf\purple{ = 50 \: cubic \: cm. }}$

• And,

${\bf\pink{➯\: Volume \: of \: new \: cube = (10 \times 10 \times 10)cubic \: cm. }}$

${\bf\pink{ = 1000 \: cubic \: cm}}$

• Therefore,

${\bf\red{➯\: Amit \: needs (\frac{1000}{50})cuboids. }}$

${\boxed{{\bf{∴20\:cuboids}}}}$

Answer 2

Answer:

ǫᴜᴇsᴛɪᴏɴ :-

\red{★}★ Amit makes a cuboid of plosticine of 5cm, 2cm, 5cm.how many such cuboid will he need to form a cube?

ɢɪᴠᴇɴ :-

\orange{★}★ Amit makes a cuboid of plosticine of sides = 5cm,2cm,5cm.

ᴛᴏ ғɪɴᴅ :-

\green{★}★ How many such cuboid will he need to form a cube.

sᴏʟᴜᴛɪᴏɴ :-

{\bf\green{ ➯\:LCM \: of \: 5,2,5 = 10 }}➯LCMof5,2,5=10

\blue{★}★ Therefore,each side of the cube will be 10 cm.

Now,

{\bf\purple{➯\: Volume \: of \: the \: cuboid =(5 \times 2 \times 5)cubic \: cm. }}➯Volumeofthecuboid=(5×2×5)cubiccm.

{\bf\purple{ = 50 \: cubic \: cm. }}=50cubiccm.

And,

{\bf\pink{➯\: Volume \: of \: new \: cube = (10 \times 10 \times 10)cubic \: cm. }}➯Volumeofnewcube=(10×10×10)cubiccm.

{\bf\pink{ = 1000 \: cubic \: cm}}=1000cubiccm

Therefore,

{\bf\red{➯\: Amit \: needs (\frac{1000}{50})cuboids. }}➯Amitneeds(

50

1000

)cuboids.

{\boxed{{\bf{∴20\:cuboids}}}}

∴20cuboids