1MA0 Higher June 2013 Paper 1 Q22
22 P and Q are two triangular prisms that are mathematically similar.
Diagram NOT accurately drawn
Prism P has triangle \(ABC\) as its cross section.
Prism Q has triangle \(DEF\) as its cross section.
\(AC = 6\) cm
\(DF = 12\) cm
The area of the cross section of prism P is 10 cm\(^2\).
The length of prism P is 15 cm.
Work out the volume of prism Q. (4)
| Answer | Mark | Notes |
|---|---|---|
| 1200 cm\(^3\) | 4 | M1 for \(10 \times 2 \times 2\) and \(15 \times 2\) M1 for \(\text{``}40\text{''} \times \text{``}30\text{''}\) A1 for 1200 B1 (indep) for cm\(^3\) OR M1 for \(10 \times 15\) or \(2^3\) or 8 indicated as scale factor M1 for \(10 \times 15 \times 2 \times 2 \times 2\) A1 for 1200 B1 (indep) for cm\(^3\) SC B2 for 600 cm\(^3\) (B1 for 600) |