A cuboid with a volume of 924cm3 has dimensions
4cm , (x+1)cm,( x+11)cm
show clearly that x2+112x-220=0
solve the equation by factorisation, making sure you show the factorisation
state both values of x
finally , find the dimension of the cuboid

4cm, 11cm, and 21cm

Step-by-step explanation:

The given dimensions of the cuboid are:

4cm , (x+1)cm,( x+11)cm

The volume of the cuboid is given as 904cm³

We know volume of a cuboid is given as:

V=LBH

We substitute the dimensions to get:

Divide through by 4.

We expand on the left to get:

This simplifies to:

To factor this expression we obtain:

But the dimension must be positive:

hence x=10

Therefore the dimensions are 4cm, 11cm, and 21cm

y/x=18

step-by-step explanation: