4400 Higher November 2004 Paper 4 Q9

EdexcelHigherOld spec6 marksPrisms

Triangular prism: right-angled triangular cross-section with sides 3 cm, 4 cm and 5 cm; length 7 cm

Diagram NOT accurately drawn

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 3 cm, 4 cm and 5 cm.
The length of the prism is 7 cm.

(a) Work out the volume of the prism. (3)

(b) Work out the total surface area of the prism. (3)

Scheme	Marks
\(\dfrac{3 \times 4}{2}\) or 6	M1
"6" × 7	M1
42	A1
	(3)

Scheme	Marks
"6" × 2	M1
\(3 \times 7 + 4 \times 7 + 5 \times 7\) or 21 + 28 + 35	M1
96	A1
	(3)
	(6 marks)

Notes