Question

Q.6.a ) For the given cuboid; Find (i) volume (ii) surface area 18cm 1 5cm 24cm​

Answer 1

$\large{\underbrace{ \boxed{ \mathfrak{ \color{deeppink}{ \: \:Answer \: \: }}}}}$

$\qquad\quad\leadsto\large{ \boxed{ \sf{ \color{lime}{ Volume = 6480 {cm}^{3} }}}}$

$\qquad\quad\leadsto\large{ \boxed{ \sf{ \color{violet}{SA=2124 \: {cm}^{2} }}}}$

$\large{\underbrace{ \boxed{ \mathfrak{ \color{aqua}{ \: \:Explanation \: \: }}}}}$

☆To find :-

The volume and surface area of the cuboid .

☆Given :-

The dimensions of the cuboid are 18cm,15cm and 24cm

☆Formula :-

$\longrightarrow\large{ \boxed{ \sf{ \color{lightgreen}{ Volume = l b h}}}}$

$\longrightarrow\large{ \boxed{ \sf{ \color{yellow}{SA=2lb+2lh+2hb }}}}$

Where l = length ,b = breadth and h = height

☆Solution :-

Given that The dimensions of the cuboid are 18cm,15cm and 24cm.

By putting the values in the formula,

$\sf \: volume \Rightarrow ( 24 \times 18 \times 15) {cm}^{3} \\ \\ \Rightarrow \mathfrak\color{red}6480 \: {cm}^{3 } \: \:$

$\sf \: SA \Rightarrow \: 2 \times 24 \times 18 + 2 \times 24 \times 15 + 2 \times 15 \times 18 \\ \\ \Rightarrow864 + 720 + 540 \qquad\qquad\qquad\qquad\quad \: \: \\ \\ \Rightarrow \color{lime} \mathfrak 2124 \: {cm}^{2} \qquad\qquad\qquad\qquad\quad\qquad\quad$

☆Hence :-

The volume of the cuboid is 6480 cm³ and surface area is 2124 cm²

____________________________

☆Extra information:-

• Volume of cube= a³

• Surface area of cube = 6a²

where, a = side of cube

• Volume of cylinder = π r²h

• Curved surface area of cylinder = 2π rh

• Total surface area = 2π rh + 2π r²

where,h = height ,r = radius

and value of π=22/7

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hope it helps.... :)