Mathematics, 05.02.2021 16:10 CXS2003

The diagram shows a prism. The cross-section of the prism is a right-angled triangle.
The lengths of the sides of the triangle are 3x cm, 4x cm
The total length of all the edges of the prism is E cm.
a) Show that the length, L cm, of the prism is given
by the formula L = }(E - 24x).
The surface area, A cm², of the prism is given by
[Edexcel]
8
and 5x cm.
4x
Sx
98 cm and A = 448 cm.
the formula A
3x
12x2 + 12Lx. E
b) Substitute these values
into the formulae of L and A to show that x satisfies the equation
3x2 – 14x + 16 = 0. Make the stages in your working clear,
c) Solve the equation 3x2 – 14x + 16 = 0.

Answers: 2

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The diagram shows a prism. The cross-section of the prism is a right-angled triangle.
The len...

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