Question

The total surface area of a cuboid is 75,200 square metre.
Its length, breadth and height are in the ratio of 7: 4: 6.
Then the measurement of length, breadth, height of that
cuboid. ​

Answer 1

Answer:

Length =140 meters

Breadth = 80 meters

Height = 120 meters

Step-by-step explanation:

Let us assume that the length =L, breadth =B and height =H of the cuboid.

Then the total surface area of the cuboid will be given by 2(LB + BH + HL).

Given that the ratio of length, breadth and height of the cuboid is 7:4:6.

Assume that the length, breadth and height are 7x, 4x, and 6x respectively.

Hence, total surface area will be 2(7*4+4*6+6*7)x²=75200 square meters (Given)

⇒ 2(28+24+42)x²=75200

⇒2(94)x²=75200

⇒188x²=75200

⇒ x=√400

⇒ x=20.

So, the length of the cuboid (L) is (7x) =140 meters.

Breadth of the cuboid (B) is (4x) =80 meters.

And height of the cuboid (H) is (6x) =120 meters.(Answer)