Question

Dimensio oF cuboud in ratio 7:3:2 and tsa is 2050 suare cm find its dimension

Answer 1

Answer : 35 cm, 15 cm and 10 cm

Solution :
________

Given that :

Dimensions of the Cuboid in Ratio of 7:3:2 and Total Surface Area of Cuboid = 2050 cm²

Let, the length = 7x cm

Breadth = 3x cm and

Height = 2x cm

As we know that : TSA of cuboid

$2(lh + bh + lb)$

According to the question :

$2(lh + bh + lb) = 2050 \\ \\ = > 2(7x \times 2x + 3x \times 2x + 7x \times 3x) = 2050 \\ \\ = > 2(14 {x}^{2} + 6 {x}^{2} + 21 {x}^{2} ) = 2050 \\ \\ = > 41 {x}^{2} = 1025 \\ \\ = > {x}^{2} = 25 \\ \\ = > x = 5$

Now, Length = 7x = 7×5 = 35 cm

Breadth = 3x = 3×5 = 15 cm and

Height = 2x = 2×5 = 10 cm

Answer 2

See the attachment please.Sorry I took so long