Question

find the TSA and LSA of a cuboid whose length,breadth ,height are 7.5m,3m and 5m respectively​

Answer 1

rule{380}2

$\rm\boxed\checkmark\textsf{\textbf{\pink{Given :-}}}</p><p>$

Cuboid Length, breadth and height are 7.5m, 3m and 5m.

$\rm\boxed\checkmark \textsf{\textbf{ \pink{To Find :-}}}$

Total Surface Area of cuboid.

Lateral Surface Area of cuboid.

$\rm\boxed\checkmark </p><p></p><p> </p><p> \textsf{\textbf{\pink{Solution :-}}}</p><p>$

Lateral Surface Area :-

$\implies\sf{L. S. A \: of \: Cuboid \: = 2h(l + b)}$

Values :-

$\implies\sf{2 × 5 \: (7.5 + 3)} \\ </strong></p><p></p><p></p><p><strong>[tex]\implies\sf{2 × 5 \: (7.5 + 3)} \\ \implies\sf{10 × 7.8} \\ </strong></p><p></p><p></p><p><strong>[tex]\implies\sf{2 × 5 \: (7.5 + 3)} \\ \implies\sf{10 × 7.8} \\ \implies\bf{78m²}</strong></p><p></p><p><strong>[tex]\implies\sf{2 × 5 \: (7.5 + 3)} \\ \implies\sf{10 × 7.8} \\ \implies\bf{78m²}$

Lateral Surface Area = 78m².

Now,

Total Surface Area :-.

$\implies\sf{T. S. A \: of \: Cuboid \: = 2(lb + bh + hl)}$

Values :-

$\implies\sf{2 × (7.5 × 3 + 3 × 5 + 5 × 7.5)} \\ </p><p></p><p>\implies\sf{2 × 75} \\ </p><p></p><p>\implies\bf{150m²}</p><p>$

So,

T. S. A. of cuboid = 150m²

L. S. A. of cuboid = 78m²

Answer 2

$\boxed\checkmark$ Given :-

• Length, Breadth and height of cuboid = 7.5 m, 3m, 5m.

$\boxed\checkmark$ To Find :-

• Total Surface area and Lateral surface area.

$\boxed\checkmark$ Solution :-

Lateral surface area :-

Formula,

$\implies\sf{2h(l + b)}$

Values :-

$\implies\sf{2 \times 5(7.5 + 3)} \\ \\ \implies\sf{10 \times 78} \\ \\ \: \: \: \: \: \leadsto\frak\color{blue}{780 \: {m}^{2} }$

So,

• Lateral surface area :- 780m².

Total surface area :-

Formula,

$\implies\sf{2(lb + bh + hl)}$

Values :-

$\implies\sf{2(7.5 \times 3 + 3 \times 5 + 5 \times 7.5)} \\ \\ \implies\sf{2 \times 75} \\ \\ \: \: \: \: \leadsto\frak\color{blue}{150 \: {m}^{2} }$

So,

• Lateral surface area = 780m².

• Total surface area = 150m².