The ratio of length, breadth and height of a rectangular solid is 3 : 2 : 1 and its total surface area is 352 sq. cm, then find the length?
Answers
Answer:
Step-by-step explanation:Given that,
The ratio of length, breadth and height of a rectangular solid is 3 : 2 : 1
Let assume that
Length of a rectangular solid be 3x cm
Breadth of a rectangular solid be 2x cm
Height of a rectangular solid be x cm
So, According to statement,
Total surface area of rectangular solid = 352 sq. cm
We know,
Total surface area of the Cuboid of length l, breadth b and height h is given by
So, on substituting the values, we get
Hence,
Length of a rectangular solid = 3x = 3 × 4 = 12 cm
Breadth of a rectangular solid = 2x = 2 × 4 = 8 cm
Height of a rectangular solid = x = 4 cm
Thus,
Length of a rectangular solid be 12 cm.
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Additional Information
Formula's of Cube :-
Total Surface Area = 6(side)²
Curved Surface Area = 4(side)²
Volume of Cube = (side)³
Diagonal of a cube = √3(side)
Perimeter of cube = 12 x side
Formula's of Cuboid
Total Surface area = 2 (Length x Breadth + breadth x height + Length x height)
Curved Surface area = 2 height × (length + breadth)
Volume of the cuboid = length × breadth × height
Diagonal of the cuboid =√(l² + b² + h²)
Perimeter of cuboid = 4 (length + breadth + height)
according to newton law of gravitation force exerted btw 2 particles is F=Gm1m2/r2. from the above formula write down the gravitation constant and also write its unit