Question

2)
The length, breadth and height of a cuboid arc in the ratio 5: 4:2. If the total surface area is 1216 cm,
find the dimension of the solid.​

Answer 1

Given:

• The length, breadth and height of a cuboid are in the ratio 5: 4:2. If the total surface area is 1216 cm,

To Find:

• Find the dimensions

Solution:

Let the assume,

• Length of cuboid = 5x
• Breadth of cuboid = 4x
• Height of cuboid = 2x

★TSA of cuboid = 2 (lb + bh + hl)

➞ 1216 = 2 (20xᒾ + 8xᒾ + 10xᒾ)

➞ 1216 = 2 × 38xᒾ

➞ 1216 = 76xᒾ

➞ xᒾ = 1216/76

➞ xᒾ = 16

➞ x = 4 cm

★Dimensions of cubiod:

Length of cuboid = 5x

• Length of cuboid = 5 × 4
• Length of cuboid = 20 cm

Breadth of cuboid = 4x

• Breadth of cuboid = 4 × 4
• Breadth of cuboid = 16cm

Height of cuboid = 2x

• Height of cuboid = 2 × 4
• Height of cuboid = 8cm

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