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A cuboid has a length of 25cm, a width of 5cm and height of (x-2)cm

(a) write an expression, in terms of x, for the volume of the cuboid

(b) the volume of the cuboid is 750cm³.

(i) form an equation in terms of x to represent this information

(ii) solve the equation in (i)

(iii) hence or otherwise calculate the height of the cuboid.​

Respuesta :

Sueraiuka

Step-by-step explanation:

Hi there!

From above question;

A cuboid has a length of 25cm, a width of 5cm and height of (x-2)cm.

Length (l) = 25cm

width (b) = 5cm

height (h) = (x-2)cm.

a).

Volume= l*b*h

V = 25*5*(x-2)

V = 125(x-2)

V = 125x - 250 → Answer

b).

(i)

V = 750cm³

V = 125x - 250

750 = 125x - 250..........(i)

(ii)

The equation (i) is: 750 = 125x - 250

or, 125x = 750+250

or, 125x = 1000

or, X = 1000/125

Therefore, X= 8cm.

(iii)

Height (h) = x-2

= 8-2

= 6

Therefore, height is 6cm.

Hope it helps!