Question

a cuboids base has an area of 20cm2 and a perimeter of 20cm. If the cuboids height is 6cm what is the surface area?

Answer 1

Area of Base = l × b = 20cm²
Perimeter of base = 2(l + b) = 20cm

LSA of cuboid = 2(l + b) × h
= 20 × h
= 20 ×6
= 120cm²

Area of base (Up and Down) = 20 + 20 = 40cm²
TSA = LSA + 40cm²
= 120 + 40 = 160cm²

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Answer 2

Answer:

Total surface area = $160\ cm^{2}$

Step-by-step explanation:

Given:

• Area of base of cuboid = 20 $cm^{2}$
• Perimeter = 20 $cm$
• Height = 6 $cm$

Formulae:

• Area of base of cuboid = $(l\times b)$
• Perimeter = $2(l+b)$
• Lateral surface area = $2(l+b)\times h$
• Total surface area = LSA + 2 (Area of base)

Now,

Area of base of cuboid = $(l\times b)$

$20=l\times b$ ----(1)

Perimeter of base = $2(l+b)$

$20=2(l+b)$ ----(2)

Lateral surface area = $2(l+b)\times h$

put (2) in above formula,

Lateral surface area = $20\times 6$

$=120\ cm^{2}$ ----(3)

Total surface area = LSA + 2 (Area of base)

put (1) and (3) in above formula,

Total surface area = $120+2\times 20$

Total surface area = $120+40$

$\therefore$Total surface area = $160\ cm^{2}$

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