Question

1. Find the lateral surface area, the total surface area and volume of the cuboid whose
dimensions are:
(b) length = 24 m, breadth = 25 cm and height = 6 m​

Answer 1

Given :

• length of cuboid = 24 cm
• breadth of cuboid = 25 cm
• height of cuboid = 6 m = 600 cm

To Find :

1. lateral surface area of cuboid ?
2. total surface area of cuboid ?
3. volume of cuboid ?

Solution :

we know that,

$\boxed { \pink{\bold{L.S.A \: of \: cuboid =2(l + b)h }}}$

$: \implies 2(24 + 25)600 \\ \\ : \implies 2 \times 49 \times 600 \: \\ \\ : \implies \boxed{ \orange{58800\: { cm }^{2} }} \: \: \:$

so, lateral surface area of cuboid is 588 cm²

____________________________

now,we know that;

$\boxed{ \pink{ \bold{T.S.A \: of \: cuboid = 2(lb + bh + hl)}}}$

$: \implies 2(2 4\times 25 + 25 \times 600 + 600 \times 24) \\ \\ : \implies 2(600 + 15000 + 14400) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ : \implies 2 \times 30000 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ : \implies \boxed{ \orange {150000 \: {cm}^{2} }}\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, total surface area of cuboid is 150000 cm²

____________________________

now, we know that;

$\boxed{ \pink{ \bold{volume \: of \: cuboid = lbh}}}$

$: \implies 24 \times 25 \times 600 \\ \\ : \implies \boxed{ \orange{ 360000 \: {cm}^{3} }} \:$

so, Volume of cuboid is 360000 cm³