Question

The volume of a cuboid is 8xcube+4xsquare-18x-9 cubic units. Find their dimensions.

Answer 1

Hi!

Here is the answer to your question.

Given, volume of the cuboid = 8x³ + 4x² – 18x – 9 cubic units

8x³ + 4x² – 18x – 9

= 4x² (2x + 1) –9 (2x + 1)

= (2x + 1) (4x² – 9)

= (2x + 1) [(2x) ² – (3)²)]

= (2x + 1) (2x – 3) (2x + 3) [ a² – b² = (a – b) (a + b)]

∴ Dimensions of cuboid are (2x + 1) units, (2x – 3) units and (2x + 3) units.

Cheers!