Foundation June 2025 Paper 1 Q10

EdexcelCurrent spec3 marksVolume & Surface Area

10 Boxes are put into a crate.

A box, a cuboid 16 cm by 4 cm by 6 cm, and a crate, a cuboid 80 cm by 12 cm by 42 cm

Diagram NOT accurately drawn

Each box is a cuboid, 16 cm by 4 cm by 6 cm
The crate is a cuboid, 80 cm by 12 cm by 42 cm

Work out the greatest number of boxes that can be put into the crate.

(3)

Mark scheme

Scheme

Marks

eg 80 × 12 × 42 (= 40 320)

or

16 × 4 × 6 (= 384)

eg 42 ÷ 6 (= 7)
or 12 ÷ 4 (= 3)
or 80 ÷ 16 (= 5)
or \(\dfrac{80 \times 12}{16 \times 4}\) (= 15)
or \(\dfrac{80 \times 42}{16 \times 6}\) (= 35)
or \(\dfrac{42 \times 12}{6 \times 4}\) (= 21)

“40 320” ÷ “384”

eg “7” × “3” × “5”
or “15” × “7”
or “35” × “3”
or “21” × “5”

Correct answer scores full marks (unless from obvious incorrect working)
Answer: 105

(3)

(3 marks)

Notes

M1: for method to find the volume of the crate or the box
or method to find the number of boxes along one dimension of the crate
or for dividing the areas of corresponding faces

M1: for a complete method to find the number of boxes

A1: cao