Math, asked by spiritninja70, 3 months ago

If a brick has length, breadth and height in the ratio 1:2:3 and
the total surface area of the brick is 792 sq. m, then the volume
of the brick is​

Answers

Answered by krisharaichura1246
0

Answer:

Given:-

L= 1x

B= 2x

H= 3x

total surface area = 792 m²

Step-by-step explanation:

2 (lb + bh + hl) = total surface area of cuboidal brick

2 × 1x × 2x + 2x × 3x + 3x × 1x = 792

2×3x+6x+3x= 792

2×12x = 792

12x = 792 /2

12 x = 396

x = 396/12

x= 33

therefore :-

L= 1(33)=33

B= 2(33)=66

H= 3(33)=99

volume = l×b×h

33×66×99

215622 cm³

Answered by karmaan958
1

Step-by-step explanation:

length = 1x

breadth = 2x

height = 3x

Total surface area of a brick = 2(lb + bh + hl)

= 2[(1x)(2x) + (2x)(3x) + (3x)(1x)] = 792m²

= 2[2x² + 6x² + 3x²] = 792m²

= 2[11x²] = 792m²

= 22x² = 792m²

= x² = 792/22 m²

= x² = 36m

= x = 6m

hence,

length = 1(6) = 6m

breadth = 2(6) = 12m

height = 3(6) = 18m

Volume of the brick = length × breadth × height

= 6m × 12m × 18m

= 1296m³

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