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Maths
GCSE

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+2x...

SS
Answered by Sabina S. Maths tutor
3044 Views

Make n the subject of the formula: m = 5n - 21

The answer is: n = (m + 21)/5 How did we get this? Right now, the equation is written in the form where m is the subject. We want to rearrange this so that n is the subject of the formula. The formula sho...

JC
Answered by Jabin C. Maths tutor
19011 Views

A right angled triangle has 2 known sides measuring 3 meters, 4 meters respectively. Find the hypotenuse and the smallest angle in the triangle.

This is an example of a pythagoras. The student has to use the knowledge that the hypotenuse (longest side) is the square root of the sum of the squares of the known sides. In this instance, it would be 4...

ZM
Answered by Zara M. Maths tutor
4225 Views

Find x and y when 3x + 4y = 27 and x + 2y = 11

Use the elimination method to remove a common coefficient.

Multiply one of the equations to find a common coefficient, eg multiply the second equation by 2 to get 2x + 4y = 22, to reach the common ...

ES
Answered by Eleanor S. Maths tutor
5886 Views

The line AB has equation 3x +5y = 7 . Find the gradient of AB.

Firstly, you should change the equation into the form y=mx+c where m is the gradient and c is the y-intercept. This can be done by subtracting 3x from each side of the equation to give 5y=-3x+7. Then divi...

CG
Answered by Conal G. Maths tutor
6918 Views

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