A cuboid has sides such that the longest side is two units more than the shortest side, and the middle length side is one unit longer than the shortest side. The total surface area of the cuboid is 52 units². Calculate the length of the shortest side.
The sides of the cuboid are as follows: x, x+1 and x+2. Total surface area of a cuboid is the area of each surface added together. Therefore 2x(x+2)+2x(x+1)+2(x+2)(x+1)= 52 units².
2x²+4x+2x²+2x+2x²+6x+4= 52
6x²+12x+4=52
6x²+12x-48=0
x²+2x-8=0
Use Quadratic formula
x=2
SS
Related Maths GCSE answers
All answers ▸Solve the following system of equations simultaneously to find the values of x, y and z. 2x+3y+4z=3, -x-y+z=1, 2x+y-z=0
What can I do to revise maths?
Solve the following pair of simultaneous equations: 2y - x = 3, y + 4x = 4
c) Sharon is organising an event. The tickets cost 12 pounds each. Sharon paid 200 pounds for the cost of the event. How many tickets will Sharon have to sell to make a profit? (2 marks)