Answer:
48
Step-by-step explanation:
The ratio of length, breadth and height of a cuboid is 4:3:2. If the volume of cuboid is 192. Find the area of the base cuboid.
Solution:
A cuboid is a polyhedron (two dimensional shape) with six rectangular faces. The volume of a cuboid is given by:
Volume = length * breadth * height.
Let us assume the sum of the length, breadth and height of the cuboid is x. Hence:
x = length + breadth + height
Since the ratio of length, breadth and height of a cuboid is 4:3:2, hence:
length = (4/9) * x; breadth = (3/9) * x; height = (2/9) * x
Volume = length * breadth * height
192 = (4x/9) * (3x/9) * (2x/9)
139968 = 24x³
x³ = 5832
x = 18
length = (4/9) * 18 = 8; breadth = (3/9) * 18 = 6; height = (2/9) * 18 = 4
Area of base of cuboid = length * breadth = 8 * 6 = 48