Numeracy Foundation November 2023 Unit 2 Q8
8. Elwyn ordered a solid garden ornament.
The ornament arrives in a box in the shape of a cuboid.
The box has length 15 cm, width 15 cm and height 30 cm.
Diagram not drawn to scale
The box only contains the ornament and packing.
The packing fits around the ornament and fills all the other space in the box.
When Elwyn opens the box, he is surprised at the volume of the packing in the box.
He says,
“\(\dfrac{2}{3}\) of this box is filled with packing.”
Use this information to calculate the volume of the garden ornament.
You must show all your working. [4]
| Scheme | Marks | Comments |
|---|---|---|
| (Volume of the ornament is) ⅓ × 15 × 15 × 30 or ⅓ × 6750 or 6750 − ⅔ × 6750 or equivalent | M2 | Allow also any of the following:
|
| 2250 (cm3) | A2 | CAO. Must be indicated and not ambiguously embedded A1 for any of the following:
|