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
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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
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Answer:
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,
Volume of the brick = length × breadth × height
= 6m × 12m × 18m
= 1296m³
Answer is
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)