Question

how many cuboids of 6cm ,3cm,6cm will be tequired to form a cube of 6 cm
please answer with steps

Answer 1

Answer:

2

Step-by-step explanation:

volume of big cube = 6 x 6 x 6 =216 cm

volume of small cuboid = 6 x 3 x 6 =108 cm

so ,no. of cuboids needed to form big cube =216/108 =2

Answer 2

$\bf{\huge{\underline{\boxed{\sf{\blue{Answer:}}}}}}$

$\bf{\underline{\underline{\sf{\green{Given:}}}}}$

• Dimensions of Cuboid :-

1. Length = 6 cm
2. Breadth = 3 cm
3. Height = 6 cm

• Dimension of Cube :-

1. Side = 6 cm = l

$\bf{\underline{\underline{\sf{\green{To\:find:}}}}}$

• Number of cuboids with given dimensions will be required to form a cube of side 6 cm

$\bf{\underline{\underline{\sf{\green{Solution:}}}}}$

First we will calculate the area of cuboid.

$\bf{\large{\underline{\boxed{\sf{\red{Area\:of\:cuboid\:=\:length\:\times\:breadth\:\times\:height}}}}}}$

Plug in the values,

=> Area = 6 × 3 × 6

=> Area = 18 × 6

=> Area = 108 cm²

Area of Cuboid = 108 sq.cm

Now let's calculate the area of cube.

$\bf{\large{\underline{\boxed{\sf{\red{Area\:of\:cube\:=\:l^3}}}}}}$

Plug in the values,

=> Area = 6³

=> Area = 6 × 6 × 6

=> Area = 36 × 6

=> Area = 216 cm²

Area of cube = 216 sq.cm

To find the number of cuboids of Length = 6cm

Breadth= 3cm

Height = 6cm, required to form a cube of side = 6cm ,we will divide the area of cuboid by area of cube.

$\sf{\boxed{\pink{Number\:of\: cuboid\:required\:=\:\frac{Area\:of\:cube}{Area\:of\:cuboid}}}}$

Plug in the values,

Number of cuboids required = $\sf\frac{216}{108}$

Dividing by 2,

Number of cuboids required = $\sf\frac{108}{54}$

Dividing by 3,

Number of cuboids required = $\sf\frac{36}{18}$

Dividing by 2,

Number of cuboids required = $\sf\frac{18}{9}$

Dividing by 9,

Number of cuboid required = 2