A cuboid dimensions are in the ratio of 2:3:4 .if its volume is 3000 cmcube then what is its surface area in cm square
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Hey friend ☺ here is the answer
Let the dimensions be 2x, 3x and 4x.
ATQ,
Volume = 3000 cm³
L × B × H = 3000 cm³
2x × 3x × 4x = 3000 cm³
24x³ = 3000 cm³
x³ = 125 cm³
x = 5 cm
L = 2x = 2 × 5 = 10 cm
B = 3x = 3 × 5 = 15 cm
H = 4x = 4 × 5 = 20 cm
Surface Area = 2 ( LB + BH + HL )
= 2 ( 10 × 15 + 15 × 20 + 20 × 10 )
= 2 ( 150 + 300 + 200 )
= 2 × 650
= 1300 cm²
Hope this helps you..
Let the dimensions be 2x, 3x and 4x.
ATQ,
Volume = 3000 cm³
L × B × H = 3000 cm³
2x × 3x × 4x = 3000 cm³
24x³ = 3000 cm³
x³ = 125 cm³
x = 5 cm
L = 2x = 2 × 5 = 10 cm
B = 3x = 3 × 5 = 15 cm
H = 4x = 4 × 5 = 20 cm
Surface Area = 2 ( LB + BH + HL )
= 2 ( 10 × 15 + 15 × 20 + 20 × 10 )
= 2 ( 150 + 300 + 200 )
= 2 × 650
= 1300 cm²
Hope this helps you..
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