Question

Volume of a water tank is 192 cubic feet Its length,
breadth & height are in proportions 4:3:2 . What is the
area of its base in square feet?​

Answer 1

Answer: 8 feet, 6 feet, 4 feet

Step-by-step explanation:

Since the length, breadth and height are given, the tank is in the form of a cuboid.

Let

• Length = 4x
• Breadth = 3x
• Height = 2x

Volume of a cuboid = Length × Breadth × Height

➥ 192 ft³ = (4x)(3x)(2x)

➞ 192 = 24 x³

➞ x³ = 192 ÷ 24

➝ x³ = 8

➝ x = ∛8

∴ x = 2 feet

Now, for finding the length, breadth and height:

1. Length = 4x = 4(2) = 8 feet
2. Breadth = 3x = 3(2) = 6 feet
3. Height = 2x = 2(2) = 4 feet

Know more:

TSA of cuboid = 2(lb + bh + hl)

LSA of cuboid = 2h(l + b)

where l is length, b is breadth, h is height.