Question

find the total surface area, lateral surface and volume of cuboid whoes dimensions are - L= 2 m, b = 75cm, h = 0.8 m ​

Answer 1

Answer:

Volume = 1.2 m 3 TSA = 7.4 m 2 LSA = 4.4 m 2

Answer 2

Given :-

• length of cuboid, l = 2m
• breadth of cuboid, b = 75cm = 0.75m
• height of cuboid, h = 0.8m

To Find :-

• total surface are and lateral surface area of cuboid ?

Solution :-

we know that,

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

$\bold{: \implies 2(2 + 0.75) \times 0.8} \\ \\ \bold{: \implies 2 \times 2.75 \times 0.8 } \: \: \: \: \: \\ \\ \bold{: \implies4.4 \: {m}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, lateral surface area of cuboid is 4.4 m²

now,

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

$\bold{: \implies 2(2 \times 0.75 + 0.75 \times 0.8 + 0.8 \times 2) } \\ \\ \bold{: \implies 2(1.5 + 0.6 + 1.6)} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies 2 \times 3.7 }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies 7.4 \: {m}^{2} }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, total surface area of cuboid is 7.4 m²

hence,

• lateral surface area of cuboid is 4.4 m²

• total surface area of cuboid is 7.4 m²