1. 1
   A packaging engineer is designing a cuboid storage box (5 cm by 4 cm by 3 cm) and a cylindrical container.

   (a)

   A cuboid storage box has length 5 cm, width 4 cm and height 3 cm. Find its volume.

   [1 mark]

   • A$12$ cm$^3$
   • B$60$ cm$^3$
   • C$24$ cm$^3$
   • D$120$ cm$^3$

   (b)

   A cylindrical container has radius 3 cm and height 10 cm. Using $V=\pi r^2 h$ and $\pi=3.142$, find its volume to the nearest whole number.

   [1 mark]

   • A$188$ cm$^3$
   • B$94$ cm$^3$
   • C$283$ cm$^3$
   • D$942$ cm$^3$

   (c)

   Convert the cuboid box's volume of $60$ cm$^3$ into litres.

   [1 mark]

   • A$60$ litres
   • B$6$ litres
   • C$0.6$ litres
   • D$0.06$ litres

   Total for question 1: 3 marks

2. 2
   A toy manufacturer is calculating the volume and surface area of a solid rubber sphere of radius 6 cm.

   (a)

   A solid sphere has radius 6 cm. Calculate its volume, using $V=\frac{4}{3}\pi r^3$ and $\pi=3.142$, giving your answer to the nearest whole number.

   [2 marks]

   (b)

   Calculate the surface area of the same sphere, using $A=4\pi r^2$ and $\pi=3.142$, giving your answer to the nearest whole number.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A metalworker is fabricating a triangular prism (cross-sectional area 18 cm$^2$, length 25 cm) and a square-based pyramid for a display stand.

   (a)

   A triangular prism has a cross-sectional area of 18 cm$^2$ and a length of 25 cm. Using $V=Al$, calculate its volume.

   [3 marks]

   (b)

   A square-based pyramid has a base area of 36 cm$^2$ and a perpendicular height of 10 cm. Using $V=\frac{1}{3}Ah$, calculate its volume.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A ceramics workshop is producing a solid cone (base radius 9 cm, slant height 15 cm) and calculating its curved surface area and total surface area.

   (a)

   A cone has base radius 9 cm and slant height 15 cm. Calculate its perpendicular height using Pythagoras' theorem, then calculate its volume using $V=\frac{1}{3}\pi r^2 h$ and $\pi=3.142$, giving your final answer to the nearest whole number.

   [4 marks]

   (b)

   Calculate the curved surface area of the cone using $A=\pi rl$ (where $l$ is the slant height), and $\pi=3.142$, giving your answer to the nearest whole number.

   [4 marks]

   (c)

   Calculate the total surface area of the cone (curved surface area plus the circular base), using $\pi=3.142$, giving your answer to the nearest whole number.

   [5 marks]

   Total for question 4: 13 marks

End of questions