Question

The total surface area of the given cuboid equals 236 m2. If its length and breadth equal 5 m and 8 m respectively, what is its height?

Answer 1

Answer:

GIVEN,

• LENGTH OF THE CUBOID = 5M
• BREADTH OF THE CUBOID = 8M

LET,

HEIGHT OF THE CUBOID BE X

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AND, TOTAL SURFACE AREA OF THE CUBOID = 236M2

NOW,

WE HAVE TO FIND HEIGHT OF THE CUBOID.

BY USING FORMULA : 2( LB + BH+ LH)

ACCORDING TO THE QUESTION

2( 5m×8m + 8m×xm + 5m×xm) = 236 m2

2( 40m2+ 8xm2 + 5xm2) = 236m2

(2× 40m2 )+ (2×13xm2 ) = 236 m2

80m2 +26xm2 = 236m2

26x = 236m2 - 80m2

26x = 156 m2

x = 156 /26

= 6m

HENCE,

REQUIRED HEIGHT OF THE CUBOID IS 6M

Answer 2

Answer:

height is equal to 6m

Step-by-step explanation:

given : total surface area of cuboid = 236 m2

length = 5m

breadth = 8m

Formula : total surface area of cuboid

= 2[( l×b ) + (b×h) + (l×h)

Solution :

236 = 2[( l×b ) + (b×h) + (l×h) ]

236 = 2 [ (5×8) + (8×h ) + (5×h )]

236/2 = [ 40 + 8h +5h ]

118 = 40 + 13h

118 - 40 = 13h

78 = 13h

78/13 = h

6 = h

Have a good day!!!