Three cubes of dimension 5cm×6×7cm,7cm×4×8cm and 2×13×2cm are melted to made a cube .find the volume and leteral surface area of new cube.
Answers
≡QUESTION≡
Three cubes of dimension 5 cm × 6×7 cm, 7 cm×4×8 cm and 2×13×2 cm are melted to made a cube . Find the volume and lateral surface area of new cube.
║⊕ANSWER⊕║
Volume of cube = (5×6×7)+(4×7×8)+(2×2×13)
(Side)³ = 210+224+52
=486 cm³
Side = ∛486
side = 7.86 cm
LSA of a cube = 4a²
= 4* (7.86)²
= 247.20 cm²
Answer:
Volume = 486 cm³ and LSA = 247.20 cm²
Step-by-step explanation:
We Have :-
Three Cubes of Dimensions :-
5 cm * 6 cm * 7 cm
7 cm * 4 cm * 8 cm
2 cm * 13 cm * 2 cm
To Find :-
Volume and LSA of cube formed by these 3 cubes
Formula Used :-
Volume = ( side )³
LSA = 4 ( side )²
Solution :-
Volume of bigger cube = ( 5 * 6 * 7 ) + ( 7 * 4 * 8 ) + ( 2 * 13 * 2 )
= 210 + 224 + 52
= 486 cm³
Volume of bigger cube = ( side )³
486 = ( side )³
side ≅ 7.86 cm
LSA = 4 ( side )²
= 4 ( 7.86 )²
≅ 247.20 cm²