Mensuration Practice Test 7

Question : 5 of 40

Marks: +1, -0

If the length of a rectangular parallelepiped is 3 times of its breadth and 5 times of its height and its volume is 14,400 cu.cm, then the area of the total surface will be:

2,420 sq. cm
3,320 sq. cm
4,320 sq. cm
5,320 sq. cm

Validate

Solution:

Let length = 15x
Breadth = 5x
Height = 3x
Volume = lbh
14400 = (1x) × (5x) × (53x)
64 =

x^3

⇒ x = 4
So, length = 60 cm
Breadth = 20 cm
Height = 12 cm
Total surface area = 2(lb + bh + hl)
= 2(1,200 + 240 + 720)
= 2 × 2,160
= 4,320

cm^2

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