Question

how many bricks of 20 CM length 10 cm breadth 4 cm height are required to make a cube whose each side is 2 metre?​

Answer 1

80000

Step-by-step explanation:

Dimensions of brick = 20cm, 10cm, 4cm

. (length)(breadth)(height)

Side of cube, a = 2m = 200cm

Volume of brick = l × b × h

. = 20cm × 10cm × 4cm

. = 800cm³

Volume of cube = a³

. = (200cm)³

. = 8000000cm³

$\frac{Number \: of \: bricks \: required}{} = \frac{Volume of cube}{Volume of brick}$

$= \frac{8000000c {m}^{3} }{800c {m}^{3} }$

$= 10000$

Answer 2

$\red{Given,}$

$\green{→}\orange{Length \: of \: the \: brick = 20 \: cm}$

$\pink{→} \blue{ Breadth \: of \: the \: brick = 10 \: cm}$

$\green {→} \orange{ Height \: of \: the \: brick = 4 \: cm}$

$\pink {→} \blue{Side \: of \: the \: cube = 2 \: cm}$

$\red {To \: Find,}$

$\blue{➢} \green {Number \: of \: bricks \: required \: to \: make \: the \: cube \: whose \: each \: side \: is \: 2m}$

$\red {Required \: Solution,}$

$\pink {Firstly,\: let's \: find \: the \: volume \: of \: the \: brick}$

$\red ✪\blue { \: Volume \: of \: the \: brick = Length \times Breadth \times Height}$

$\red↪\blue {(20 \times 10 \times 4) \: {cm}^{3}}$

$\red↪ \blue{800 \: {cm}^{3} }$

$\green{Thus,\: we \: got \: volume \: of \: 1 \: brick \: as \: 800 \: {cm}^{3} }$

$\red{Now,\: let's \: find \: the \: volume \: of \: the \: cube}$

$\blue{We \: can \: see \: that \: the \: side \: of \: the \: cube \: is \: given \: in \: m}$

$\pink{So, \: firstly \: let's \: convert \: the \: side \: of \: the \: cube \: from \: m \: to \: cm}$ $\red{We \: Know,}$

$\green {1m = 100 \: cm}$

$\pink {2m = (100 \times 2) \: cm}$

$\pink {2m = 200 \: cm}$

$\red {Thus, \: side \: of \: the \: cube \: is \: 200 \: cm}$

$\blue{Volume \: of \: the \: cube = ({side}^{3})}$

$\blue{{(200)}^{3} \: = 8000000 \: {cm}^{3}}$

$\red ✏ \green {Hence, \: we \: got \: volume \: of \: the \: cube \: as \: 8000000 \: {cm}^{3}}$

$\orange {Now,\: number \: of \: bricks \: required}$

$\green {\frac{Volume \: of \: the \: cube}{Volume \: of \: the \: brick} = Brick \: number}$

$\blue ↪ \green {\frac{8000000}{800} = Brick \: number}$

$\blue↪\green {10000 \: Bricks}$

$\pink {Thus,\: the \: required \: number \: of \: bricks \: are \: 10000}$