Question

find the total surface area of cuboid with dimensions are 8cm by 6cm by 5cm​

Answer 1

Given

• A cuboid with dimensions

⠀⠀⠀⠀⠀→ Length = 8cm

⠀⠀⠀⠀⠀→ Width = 6cm

⠀⠀⠀⠀⠀→ Height = 5cm

⠀

To find

• Total surface area of the cuboid.

⠀

Solution

• We have all the three dimensions of the cuboid.

⠀

$\: \: \: \: \: \: \: \: \: \:\underline{\sf{\red{We\: know\: that}}}$

⠀

$\large{\boxed{\boxed{\sf{TSA_{(Cuboid)} = 2(lb + bh + hl)}}}}$

⠀

• Putting the values

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {TSA = 2 \bigg\lgroup{(8 \times 6) + (6 \times 5) + (5 \times 8)}\bigg\rgroup}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {TSA = 2 \bigg\lgroup{48 + 30 + 40}\bigg\rgroup}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {TSA = 2 \times 118}$

⠀

$\bf:\implies\: \: \: \: \: \: \: \: {TSA = 236}$

⠀

Hence,

• The total surface area of the cuboid is 236cm².

Answer 2

Question :

Find the total surface area of cuboid with dimensions are 8cm × 6cm × 5cm.

Given :

• Length of cuboid = 8cm
• Breadth of cuboid = 6cm
• Height of cuboid = 5cm

To find :

• Total surface area of cuboid

Solution :

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

$: \implies \tt {T.S.A \: of \: cuboid \: = 2 \left\{(8 × 6) + (6 × 5) + (5 × 8) \right\} }$

$: \implies \tt {T.S.A \: of \: cuboid \: = 2 \left\{48 + 30 + 40 \right\} }$

$: \implies \tt {T.S.A \: of \: cuboid \: = 2 \left\{ 118 \right\} }$

$: \implies \tt { T.S.A \: of \: cuboid \: = 236 }$

$\boxed {\underline {\bf T.S.A \: of \: cuboid \: = 236 cm}}$