Question

Find the lateral surface area, the total surface area and volume of the cuboid whose dimensions are: Length= 48cm, breadth= 6dm and height= 1m​

Answer 1

Given :

• Length of cuboid = 48cm
• Breadth of cuboid = 6cm
• Height of cuboid = 1m = 100cm

To find :

• Lateral surface area of cuboid
• Total surface area of cuboid
• Volume of cuboid

Formulae to be used :

$\boxed {\underline {\sf Lateral \: surface \: area \: of \: cuboid = 2h ( l + b )}}$

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

$\boxed {\underline {\sf Volume \: of \: cuboid = l \times b \times h }}$

Solution :

(i) Lateral surface area of cuboid :

$\sf { Lateral \: surface \: area \: of \: cuboid = 2h ( l + b )}$

$: \implies \sf { C.S.A = 2 \times 100 ( 48 + 6)}$

$: \implies \sf { C.S.A = 200 \times 54}$

$: \implies \sf {C.S.A = 10800cm^2}$

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(ii) Total surface area of cuboid :

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

$:\implies \sf{ T.S.A= 2(48 \times 6 + 6 \times 100 + 100 \times 40)}$

$: \implies \sf {T.S.A = 11376 cm^3}$

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(iii) Volume of cuboid :

$\sf {Volume \: of \: cuboid = l \times b \times h }$

$: \implies \sf {Volume = 48 \times 6 \times 100 }$

$: \implies \sf {Volume = 28800cm^3}$

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Answer 2

Answer:

Data:

Length= 48 cm

Breadth= 6 cm

height = 1 m (convert into cm) = 100cm

Step-by-step explanation:

For Lateral Surface Area:

LSA=  2 height(length + breadth)

LSA = 2× 48( 48+6)

⇒ Multiply 2 and 48 to get 96

LSA = 96(48+6)

⇒ Add 48 and 6 to get 54

LSA = 96 × 54

⇒ Multiply 96 and 54 to get 5184

LSA = 5184 cm²

For Total Surface Area:

TSA =  2 (Length x Breadth + breadth x height + Length x height)

TSA = 2( 48×6+6×100+48×100)

⇒ Multiply 48 and 6 to get 288, multiply 6 and 100 to 600 and multiply 48 and 100 to get 48100

TSA = 2(288+600+48100)

⇒ Add 288 and 600 to get 888.

TSA = 2(888+48100)

⇒ Add 888 and 48100 to get 48988.

TSA = 2 × 48988

⇒ Multiply 2 and 48988 to get 97976.

TSA = 9797c cm²

 For Volume:

V=  (length × breadth × height)

V = (48×6×100)

⇒ Multiply 48 and 6 to get 288

V = 288 × 100

⇒ Multiply 288 and 100 to get 28800

V = 28800 cm³

• Hope it helps :)