Question

• 12. The dimensions of a cuboid are in the ratio 7:3:2 and its total surface area is 2050 sq m. Find
surface area of a cube whose
its dimensions
​

Answer 1

Answer:

let the dimensions be 7x,3x,2x

2(7x x 3x + 3x x 2x + 2x x 7x) = 2050sq.m

2(21x +6x +14x)=2050

41x x 2 = 2050

82x = 2050

x = 2050/82

x = 25

Dimensions:

7x = 7 x 25 =175

3x = 3 x 25 =75

2x = 2 x 25 = 50

Hope it helps!

Answer 2

Answer:

35m, 15m, and 10m

Step-by-step explanation:

Dimensions of the Cuboid in Ratio of 7:3:2 and Total Surface Area of Cuboid = 2050 m²

Let, the length = 7x m

Breadth = 3x m and

Height = 2x m

As we know that : TSA of cuboid

2(lh+bh+lb)

According to the question :

2(lh+bh+lb)=2050

2(7x ×2x + 3x ×2x + 7x ×3x)=2050

2(14 x² + 6 x² +21 x²) = 2050

2(41x²)= 2050

41x² = 1025

x²= 25

x= 5

Now, Length = 7x = 7×5 m= 35m

Breadth = 3x = 3×5 m= 15m and

Height = 2x = 2×5 m= 10m

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