Question

The areas of three adjacent faces of a cuboid are 180 cm sq., 96 cm sq. And 120 cm sq. What is the volume of cuboid?

Answer 1

Answer:

Given areas of adjacent faces of cuboid are

189, 120, 96

Let l*b=180, b*h=120, h*l=96

Now check the values to satisfy these areas

We get

L=15, B=12, H=8 (in cms)

Volume =1440 cm^3

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Answer 2

Answer:

1440

Step-by-step explanation:

l×b=180

b=180÷l

b×h=(180÷l)×h=96

h=96l÷180

h×l=96l²÷180=120

l²=225

l=15

volume = l×b×h=(l×b)×h=(180)×96×15÷180=180×8

volume=1440cm³