Question

The total surface area of this cuboid is 112m

Find the value of x.

x cm, 10cm, 2cm

Answer 1

465 cm

Explanation:

We know T.S.A. of cuboid = 2(lb +bh+lh) where:

• l = length
• b = breadth
• h = height

Also, dimensions = x * 10 cm * 2 cm

Hence Given, l = x cm

• b = 10 cm
• h = 2 cm

Also, given T.S.A. = 112 m. = 11200 cm

Set up an equation and solve for x:

• 2(x*10 + 10*2 + x*2) = 11200
• 2(10x+20+2x) = 11200
• 12x +20 = 5600(Transpose 2 from LHS to RHS)
• 12x = 5580
• x= 5580/12 = 465 cm

Hence, THE LENGTH OF CUBOID = 465 cm