Question

the lateral surface area of cubiod is 124 sqcm.height 2cm, breadth is 8cm.find its length​

Answer 1

Step-by-step explanation:

Given

b=8cm

h=2cm

LSA=2h (l+b)

124 =2(2) (l+8)

124 =4 (l+8)

124 =4l + 32

4l =124-32

. =92

l =92/4

l = 23cm

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Answer 2

Answer:

length of cube = 23 cm

Step-by-step explanation:

given that,

in a cuboid,

lateral surface area = 124 cm³

also,

given that,

height(h) = 2 cm

breadth(b) = 8 cm

we know that,

lateral surface area of cuboid = 2h(l + b)

where,

l is the length

so,

according to the question,

2h(l + b) = 124 cm³

now,

putting the values,

2(2)(l + 8) = 124

4(l + 8) = 124

l + 8 = 124/4

l + 8 = 31

l = 31 - 8

l = 23

so,

length of cube = 23 cm

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Extra information

total surface area of cube

5a²

where,

a = side of cube

lateral surface area of cube

4 × side²

Volume of cube = length³

diagonal of cube = √3(a)