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A cuboid has edge 7 centimetres, 5 centimetres and a total surface area of 142 centimetres squared. A larger, similar cuboid has a shortest edge of 12 centimetres. Find the third edge of the smaller cuboid and the volume of the larger cuboid.

Let's call the length of the third edge "Y" so we have edges of 7cm, 5cm and Ycm.There are 6 faces but opposite faces are the same, so there are 3 pairs of faces which are 5cm by 7cm, 5cm by Ycm...

OR
Answered by Ollie R. Maths tutor
4781 Views

How do you break down a wordy question (e.g. Aled has three concrete slabs. Two slabs square, of length x, & the third rectangular of dimensions 1m & x+1m. Show 2x^2 +x-6=0 & Solve this)

Start off by taking a breather. Let's break this down into the components of the problem, in this case the three slabs (a,b,c)Aa=lh=xx=x2Ab=Aa=x2...

GM
Answered by Gwynfor M. Maths tutor
2700 Views

Solve the simultaneous equations: a) 2x + y = 18, b) x - y = 6

Notice we have two different equations but that 'x' and 'y' take the same value in both equation a and equation b. In order how to work out what values they take we need to combine the two different equat...

RC
Answered by Rebecca C. Maths tutor
2962 Views

The sides of an equilateral triangle are given by the expressions x+y, 2y-1 and 3y-2x+1. Find the values of x and y.

This question test knowledge of the geometry of equilateral triangles and the students ability to solve linear equations.
First we note that an equilateral triangle has equal sides. Then we can write...

JS
Answered by Joe S. Maths tutor
7138 Views

Factorise fully 2x^2 -x -4=2 and thus solve for x

Recall that to solve a quadratic it needs to be in the form ax2 + bx +c = 0, Subtract 2 from each side to get 2x2-x-6=0 therefore a=2 b=-1 and c=-6 Solve by considering factors c and...

LS
Answered by Lucy S. Maths tutor
2394 Views

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