(b) The triangle is the cross-section of the prism shown.
Diagram not drawn to scale
Calculate the volume of the prism. [1]
(c) Another triangular prism has the same cross-section as the one in (b). The length of the prism is 50 mm. Without finding the volume of this prism, explain why it has a greater volume than the prism in part (b). [1]
Mark scheme (a)
Scheme
Marks
Comments
½ (8 x 5.5) = 22 (\(\text{cm}^2\))
M1 A1
Mark scheme (b)
Scheme
Marks
Comments
(22 x 4.5) = 99 (\(\text{cm}^3\))
B1
FT ‘their 22’ correctly evaluated.
Mark scheme (c)
Scheme
Marks
Comments
Explains that 50mm is bigger than 4.5cm, the other measurements have not changed so the volume must be bigger. Or equivalent.
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