Question

the length, breath and height of a cuboid are in the ratio 4:2:1 and its total surface area is 1372m2. find the dimensions of the cuboid

Answer 1

Answer:

Step-by-step explanation:

4x+2x+1x=1372

tsa of a cuboid = 2(lb+bh+lh)

2(8x2+2x2+4x2)

2*14x2=1372

28x2=1372

x2=1372/28

x2=49

x=7

L= 28,B=14,h=7

Answer 2

Hii dear here is your solution....

This solution is verified✔✔✔

Let the all sides be x

Given,

length, l = 4x
breadth, b = 2x
height, h = x
Area = 1372m^2

T.S.A of cuboid = 2(lb+bh+hl)

Put in formula.......

$1372 = 2(4x \times 2x + 2x \times x + x \times 4x)$

$\frac{1372}{2} = 8 {x}^{2} + 2 {x}^{2} + 4 {x}^{2}$

$686 = 14 {x}^{2}$

$\frac{686}{14} = {x}^{2}$
${x}^{2} = 49$

$x = \sqrt{49}$

$x = 7$

Length , l = 4x = 4×7 = 28m

Breadth, b = 2x=2×7 = 14m

Height, h = x = 7m

Hope it will help you...❤❤