Question

Cuboid total surface area is 47.5, length 5and height 1.5then find breadth of cuboid

Answer 1

Answer :

Given :

Total surface area of the Cuboid = 47.5 units

Length = 5 units

Height = 1.5 units

Required to find :

1. Breadth of the cuboid

Solution :

In the question they given that ;

Length of the cuboid = 5 units

Height of the cuboid = 1.5 units

Total Surface Area of the cuboid = 47.5 sq. units

They asked is to find the breadth of the cuboid

So;

Let the breadth be " x " units .

Hence ,

The Formula for the Total surface area of the Cuboid is 2 ( l × b + b × h + h × l )

Here is the solution;

2 ( l × b + b × h + l × h ) = 47.5

2 ( 5 × X + X× 1.5 + 5 × 1.5 ) = 47.5

2 ( 5x + 1.5x + 7.5 ) = 47.5

2 ( 7.5 + 6.5x ) = 47.5

15 + 13x= 47.5

13x = 47.5 - 15.0

13x = 32.5

x = 32.5 / 13

x = 2.5

x = 2.5 cm

Hence ;

Breadth of the cuboid is 2.5 cm .

Formulas related to Cuboid

Lateral surface area of a cuboid = 2 ( length x breadth) + height

Total surface area of a cuboid = 2 ( length x breadth + breadth x height + height x length)

Volume of the cuboid = length × breadth × Height