the dimensions of acuboid are in the ratio 3:2:2 and the lateral surface area of the cuboid is 200m2 - Maths - Surface Areas and Volumes

Question

the dimensions of acuboid are in the ratio 3:2:2 and the lateral
surface area of the cuboid is 200m2 the outer surface of
cuboid is painted with enamel at the rate of @ 10 per m2
find the total coast of painting the outer surface of cuboid

Manbar Singh · Accepted Answer

Let the length of the cuboid = l = 3x mLet the breadth of cuboid =
b = 2x mLet the length of the height = h = 2x marea of 4 walls =
200 m2⇒2l + bh = 200⇒l + bh = 100⇒3x + 2x2x =
100⇒10x2 = 100⇒x2 = 10 1Now, outer surface area of
cuboid = 2lb + bh + hl =23x 2x + 2x 2x + 2x 3x =26x2 + 4x2 + 6x2
=216x2 = 32x2 m2 = 32 × 10 = 320 m2cost of painting 1m2 of
outer surface area = Rs 10cost of painting 320 m2 of outer surface
area = Rs 10×320 = Rs 3200

the dimensions of acuboid are in the ratio 3:2:2 and the lateral surface area of the cuboid is 200m2. the outer surface of cuboid is painted with enamel at the rate of @ 10 per m2 . find the total coast of painting the outer surface of cuboid .

the dimensions of acuboid are in the ratio 3:2:2 and the lateral surface area of the cuboid is 200m². the outer surface of cuboid is painted with enamel at the rate of @ 10 per m² . find the total coast of painting the outer surface of cuboid .