Question

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

A) 1296m
B)1396m
C) 1496m
D) 1596m​

Answer 1

Answer:

$length = 1x$

$breadth = 2x$

$height = 3x$

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

Answer is

$A) 1296m$

Answer 2

Step-by-step explanation:

= 2[11x²] = 792m²

= x² = 792/22 m²

= 22x² = 792m²

= x = 6m

hence,

length = 1(6) = 6m

breadth = 2(6) = 12m

Volume of the brick = length × breadth × height

= x² = 36m

= 2[2x² + 6x² + 3x²] = 792m²

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

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