Base area of the cuboid = 24 square inches
Solution:
Volume of cuboid formula = length × breadth × height
Ratio of l : b : h = 3 : 2 : 1
Let us take length be 3x, breadth be 2x and height be x.
Volume of cuboid = 48 cubic meter
length × breadth × height = 48
[tex]3x\times 2x \times x = 48[/tex]
[tex]6x^3=48[/tex]
Divide by 6 on both sides of the equation.
[tex]x^3=8[/tex]
[tex]x^3=2^3[/tex]
Taking cube root on both sides, we get
x = 2
Base area of the cuboid = length × breadth
= 3(2) × 2(2)
= 6 × 4
= 24
Base area of the cuboid = 24 square inches
