Thursday, 28 January 2016

Premium Question Of The Month (January, 2016)



We say kudos to all our friends who have been participating in our weekly quiz. You have actually made learning so much fun and you keep touching lives positively by doing so.

The Question Of The Week

Given that the volume of  a cuboid is 54 cm3. If the length, breadth and height of the cuboid are in the ratio 2:1:1, find the total surface area of the cuboid.

Always remember to include your phone number in your answer so we can reach you I you win.

Happy Answering!!!

11 comments:

Unknown said...

90cm^2

07033283195

Unknown said...

Total Surface Area = 2(lb + bh + lh)
Since the volume is 54cm³ and the ration of length, breadth and height is 2:1:1
Therefore length 2/4 x 54 = 27cm, breadth is 1/4 x 54 = 13.5cm and height is 1/4 x 54 = 13.5cm

Using the above formulae for TSA:
TSA = 2[(27x13.5) + (13.5x13.5) + (27x13.5)]
The totalsurface area = 1,822.5cm²

Unknown said...

My mobile number is 08102491767

Unknown said...

My mobile number is 08102491767

Usman Felix said...

Answer = 90cm^2...
phone 07032611149

Unknown said...

Answer: Total surface area of the cuboid is 90cm2
(08143202390)

Forever Living said...


Total surface area =90.0 m^2

08136693385

Unknown said...

ANSWER = 90cm^2

Ojo Damilare Gideon
08168902771

Fagbemi Ranti-Ade said...

Answer: 90cm^2
Name: Fagbemi Ranti-Ade
Phone no: 07033529796

Unknown said...

The ans. is 1,822.5cm²
08102491767

Unknown said...

Solution to the Premium Question Of The Month (January, 2016)
Given that the volume of a cuboid is 54 cm3. If the length, breadth and height of the cuboid are in the ratio 2:1:1, find the total surface area of the cuboid.

Let the total length be X
:.LENGTH = 2/4 * X = X/2
BREADTH =1/4 * X = X/4
HEIGHT = 1/4 * X = X/4
But, Vol of cuboid = L*B*H
Therefore, 54cm3 = X/2 × X/4 × X/4
54cm3 = X3/32
X3 = 54cm3 ×32
X3 =1728
X=3√1728
X= 12cm
:. ACTUAL DIMENSION OF THE CUBOID IS
LENGTH = 2/4 * 12cm = 6cm
BREADTH =1/4 * 12cm = 3cm
HEIGHT = 1/4 * 13cm = 3cm
Total Surface Area of a cuboid(T.S.A)
T.S.A = 2(bh + bl + lh)
T.S.A = 2(3*3 + 3*6 + 6*3)
T.S.A = 2(9 + 18 + 18)
T.S.A = 2(45)
T.S.A = 90cm2