Ian builds wooden toys. Recently he built a model of a shipping container using a scale of 1:700. The surface area of the toy is 276mm2(square). Determine the surface area of the real container. Give your answer in mm2(square) and in m2(square).
2007-06-12 15:01:51 · 2 answers · asked by ebneter_chick 1 in Science & Mathematics ➔ Mathematics
Linear ratio is 1:700
Area is quadratic
quadratic ratio is 1:700²
Therefore using a proportion
Let x = the surface area of the real container
1/700² = 276/x
x = 490,000 * 276
x = 1.3524 (10)^8 mm² or 135.24 m²
(10^6 mm² = 1 m²)
.
2007-06-12 15:09:18 · answer #1 · answered by Robert L 7 · 0⤊ 0⤋
Length ratio = 1:700
Area ratio = 1^2:700^2 = 1:490000
1/490000 = 276/x
x = 135,240,000mm2
1000mm = 1m
1000^2 mm2 = 1^2 m2
1,000,000 mm2 = 1 m2
x = 135240000 / 1000000 = 135.24 m2
2007-06-12 16:14:59 · answer #2 · answered by Kemmy 6 · 0⤊ 0⤋