Question

A cuboid has total surface are 280cm square breadth and length is 5 cm and 6 cm find its height.

Answer 1

Answer:

Height of the given cuboid is 10 cm

Step-by-step explanation:

Total surface area of cuboid = 2 ( lb + bh + lh )

Substitute the values and you get

280 = 2 ( 6 x 5 + 5 x h + 6 x h )

140 = 30 + 5h + 6h

110 = 11h

h = 110/11

h = 10 cm

Therefore height of the given cuboid is 10 cm

Hope this will help and mark my answer as brainliest if my answer helped you.

Answer 2

$\underline{\bold{Answer}}$


Height is 10cm.


$\huge{\bold{Explanation}}$


$\underline{\bold{Given}}$


Total surface area of cuboid = 280${cm}^{2}$


Length = 6cm.


Breadth = 5cm.


$\underline{\bold{To\:Find}}$


Height = ??.


Let the height be x.


$\bold{We\:know\:that}$


$\boxed{\bold{Total\:Surface\:Area=2\times ( lb + bh + hl )}}$


$\bold{according\:to\:the\:question}$


Let solve by using the formula of total surface area of cuboid....


$\implies\bold{280{cm}^{2} = 2\times ( 30{cm}^{2} + 5x + 6x )}$

Add the like terms (5x + 6x)....


$\implies\bold{280{cm}^{2} = 2\times ( 30{cm}^{2} + 11x )}$


$\implies\bold{280{cm}^{2} = 60{cm}^{2} + 22x}$


$\implies\bold{280{cm}^{2} - 60{cm}^{2} = 22x}$


Subtract 60 from 280....


$\implies\bold{220{cm}^{2} = 22x}$


Let shift the 22 to LHS...


$\implies\bold{\dfrac{220}{22} = x}$


After cancelling....


$\implies\bold{x = 10}$


$\boxed{\boxed{\bold{\therefore{Height = 10cm}}}}$