Question

The dimensions of a cuboid are 4 cm,8cm ,1 cm. How many cubes each of side 1 cm can be cut out of it ???pls tell ans quickly ??

Answer 1

Hola User__________________⚡

Here is Your Answer....!!!!⚓
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☆Actually welcome to the concept of the Geometry and Mensuration. ..

☆Basically we know that Volume of the Cuboid = length × breadth × height ....
so as to fit the cubes. ...the volume will be ....

☆Vol. = 4 × 8 × 1
■Vol. = 32 cm^3....'

☆The volume of 1 Cube that has to be cut out = A^3
■here A = 1
■thus Vol. = 1 cm^3..

☆Therefore the ....the no. of cubes that has to be cut .= Volume of Cuboid ÷ Volume of the cube

■☆Number of cubes = 32 ÷ 1 = 32 ....

☆therefore The no. of the cubes can be cut out will be ■32 cubes ...

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Hope it helps you ....☺

Answer 2

$\bf{Hello \: Dear !!}$
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•» The most important formulas to solve these basic question from the very chapter Mensuration are as follows :

1. Volume of Cuboid =

{ length × breadth × height }

2. Volume of Cube =

$a ^{3}$

Here , 'a' denotes the side of a cube .

•» And now some the solution to your question :

It's given that :

1. Dimension of a Cuboid = ( 4 × 8 × 1 ) cm
2. Side of the cube = 1 cm

Now , Volume of the Cuboid =

$(4 \times 8 \times 1) \: cm ^{3} \\ = 32 \: cm {}^{3}$

And , Volume of the cube =

$(1) {}^{3} \\ = 1$

So , the no. of cubes each of side 1 cm can cut out of it = Volume of Cuboid ÷ Volume of Cube (Applied formula)

= 32 ÷ 1
= 32

Therefore the required answer is
$\boxed{32}$
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$\bf{Hope \: it \: Helps \: !!}$