Question

If the areas of three adjacent faces of a cuboid are 8 cm2, 18 cm2 and 25 cm2. Find the volume of the cuboid. ​

Answer 1

Step-by-step explanation:

volume of cuboid = length × breadth× height

( 8 × 18 × 25 ) cm2

3600 cm6

Answer 2

Answer:

=> $60cm^3$

Step-by-step explanation:

As per the data given in the question, we have to find the volume of the cuboid.

The dimensions of the cuboid are l, b, and h, respectively.

lb = $8cm^2$

bh = $18cm^2$

hl = $25cm^2$

$=> lb\times bh\times hl= 8\times 18\times 25$

$=>(lbh)^2=2\times 2\times 2\times 3\times 3\times 2\times 5\times 5$

Squaring on both sides we get

$=>(lbh)=\sqrt{2\times 2\times 2\times 3\times 3\times 2\times 5\times 5}$

Therefore, we get

$=>lbh=2\times 2\times 3\times 5$

=> $60$ cubic cm

Hence, the volume of the cuboid is $60cm^3$.