Question

If the total surface area of a cuboid with length 24cm and height 10cm is 1568 sq.cm, find its breath. I'm getting the answer in decimals, but the answer is 11 how do i get it?

Answer 1

Dimensions of a cuboid are in the ratio 4:3:2.

 

So, length = 4x, breadth = 3x and height = 2x

 

We know that,

 

Surface area of a Cuboid = 2(lb + bh + lh)

→ 3328 = 2[(4x × 3x)  + (3x × 2x) + (4x × 2x)

→ 3328 = 2(12x2+ 6x2 + 8x2)

→ 1664 = 26x2

→   x2    = 64

→   x     = ± 8

 

x can't be negative.

 

length = 4x = 4(8) = 32m, breadth = 3x = 3(8) = 24m and height = 2x = 2(8) =16m

 

Volume of a Cuboid = length × breadth × height = 32 × 24 × 16 = 12288 m3

Answer 2

Step-by-step explanation:

$\blue{ \bf{ \underline{QUESTION} : - }}$

If the total surface area of a cuboid with length 24cm and height 10cm is 1568 sq.cm, find its breath.

_________________________

$\boxed{ \huge{ \bold{Given}}}$

• Length = 24 cm

• Height = 10 cm

• Total Surface Cube Area = 1568 cm²

$\boxed{ \bold{ \huge{to \: find}}}$

• Breadth of The Cube

$\star{ \pink{ \underline{ \underline{Ｓｏｌｕｔｉｏｎ : - }}}}$

Let ,

Breadth = x

We Know ➠

$\boxed{ \boxed{ \red{ \sf{Area \: of \: Surface \: Cube = 2( Length× Breadth +Breadth × Height + Height × Length )}}}}$

Puting value as given ➥

${ \purple \implies{ \sf{ \large{1568 = 2(24 \times x + x \times 10 + 10 \times 24)}}}}$

⇒1568 =2 (24x +10x + 240 )

⇒ 1568 = 2 (34x + 240)

⇒ 1568 = 68x + 480

⇒1568 -480 = 68x

⇒1088 = 68 x

⇒1088/68 = x

⇒16 = x

ThereFore

Breadth = 16 cm

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