Question

Vinayak babu sanpann vyakti the satya asatya

Answer 1

Explanation:

Step-by-step explanation :-

➡ Given :-

→ a + b + c = 10 cm .

→ a² + b² + c² = 40 cm² .

➡ To find :-

→ Surface area of cuboid i.e., = 2( ab + bc + ca ) .

\huge \pink{ \underline{ \underline{ \tt Solution :- }}}

Solution:−

We have ,

→ a + b + c = 10 cm .

→ a² + b² + c² = 40 cm² .

▶ Now, using Identity :-

( A + B + C )² = A² + B² + C² + 2( AB + BC + CA ) .

==> ( 10 )² = 40 + 2( ab + bc + ca ) .

==> 100 = 40 + 2( ab + bc + ca ) .

==> 2( ab + bc + ca ) = 100 - 40 .

•°• 2( ab + bc + ca ) = 60 cm² .

✔✔ Hence, surface area of cuboid is 60 cm² ✅✅ .

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