Question

If the Length, Breadth, and Height of a Cuboid are in the Ratio 6 : 5 : 4 and the Total Surface Area of the Cuboid is 33300 cm2. What is the Breadth of the Cuboid?

Answer 1

Solution

Given :-

• Ratio of Length , breadth & Height of cuboid is = 6:5:4
• Total surface area of cuboid = 33,300 cm².

Find :-

• Breadth of cuboid .

Explanation.

Let,

• Length be of cuboid = 6x
• Breadth = 5x
• Height = 4x

Using Formula.

$\boxed{\underline{\tt{\red{\:Area_{cuboid}\:=\:2(LB+BH+HL)}}}}$

where,

• L = Length
• B = Breadth
• H = Height

keep value,

==> Total surface area if cuboid = 2(6x + 5x + 4x)

==> 33,300 = 2(15x)

==> 30x = 33,300

==> x = 33,300/30

==> x = 3330/3

==> x = 1110

Since

==> Length of cuboid = 6x

==> Length of cuboid = 6×1110

==> Length of cuboid = 6,660 cm

And,

==> Breadth of cuboid = 5x

==> Breadth of cuboid = 5×1,110

==> Breadth of cuboid = 5,550 cm

And

==> Height of cuboid = 4x

==> Height of cuboid = 4×1,110

==> Height of cuboid = 4,440 cm

Hence

• Breadth of cuboid will be = 5,550 cm

___________________

Answer 2

Step-by-step explanation:

LET'S assume

length = 6x

breadth= 5x

height = 4x

total surface area = 33300

2(lb+bh+hl) = 33300

6x×5x + 5x×4x + 4x×6x = 16650

30x^2 + 20x^2 + 24x^2 = 16650

74x^2 = 16650

x^2 = 225

x = 15

so, breadth = 5x

= 5×15

= 75cm answer

hope that it will help you