Question

A cuboid is of dimensions 60 cm x 54 cm x 30 cm. How many small cubes with side
6 cm can be placed in the given cuboid?​

Answer 1

Answer:

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Answer:

450 small cubes with side 6 cm can be placed in the given cuboid.

Step-by-step explanation:

Given that:

A cuboid is of dimensions 60 cm x 54 cm x 30 cm.

To Find:

How many small cubes with side 6 cm can be placed in the given cuboid?

Formula used:

Volume of a cuboid = (Length x Breadth x Height)

Volume of a cube = (side x side x side)

Finding the volume of a cuboid:

⟶ Volume of a cuboid = (60 cm x 54 cm x 30 cm)

⟶ Volume of a cuboid = 97200 cm³

Finding the volume of a cube of side 6 cm:

⟶ Volume of a cube = (6 cm x 6 cm x 6 cm)

⟶ Volume of a cube = 216 cm³

Finding the number of cubes placed in the cuboid:

⟶ Number of cubes = (Volume of cuboid)/(Volume of cube)

⟶ Number of cubes = (97200 cm³)/(216 cm³)

⟶ Number of cubes = 450

Answer 2

$\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}$

$\underline\pink{450 \: Şᴍᴀʟʟ \: ᴄᴜʙᴇŞ}$

✰ Question :

A cuboid is of dimensions 60 cm X 54 cm x 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid?

✰ Solution :

$\underline\red{ɢɪᴠᴇɴ \: ᴛʜᴀᴛ :}$

A cuboid is of dimensions 60 cm x 54 cm x 30 cm.

$\underline\red{ᴛᴏ \: ғɪɴᴅ:}$

How many small cubes with side 6 cm can be placed in the given cuboid?

$\underline\red{ғᴏʀᴍᴜʟᴀ \: ᴜŞᴇᴅ:}$

Volume of a cuboid = (Length x Breadth x Height)

Volume of a cube = (side x side x side)

Finding the volume of a cuboid:

⇛ Volume of a cuboid = (60 cm x 54 cm x 30 cm)

⇛ Volume of a cuboid = 97200 cm³

Finding the volume of a cube of side 6 cm:

⇛ Volume of a cube = (6 cm x 6 cm x 6 cm)

⇛ Volume of a cube = 216 cm³

Finding the number of cubes placed in the cuboid:

⇛ Number of cubes = (Volume of cuboid)/(Volume of cube)

⇛ Number of cubes = (97200 cm³)/(216 cm³)

⇛ Number of cubes = 450

Thus, 450 small cubes can be placed in the given period.