Surface area and volume of 3D solidsIB MYP Maths Standard: Mind map

Exam questions on Surface area and volume of 3D solids

1. A closed cylindrical water tank has radius $0.8$ m and height $1.5$ m. Volume of a cylinder $=\pi r^2h$. Curved surface area of a cylinder $=2\pi rh$.
   Find the total outer surface area of the closed tank.2 marks
2. A solid metal prism has a right-angled triangle as its cross-section, with perpendicular sides $6$ cm and $8$ cm and hypotenuse $10$ cm. The prism is $15$ cm long.
   Write the volume of the prism in mm$^3$.2 marks
3. A square-based pyramid has a base of side $10$ cm and a perpendicular height of $12$ cm. Each of its four triangular faces has a slant height of $13$ cm. Volume of a pyramid $=\frac13\times\text{base area}\times\text{height}$.
   Find the volume of the pyramid. A cuboid box has the same base and the same height. What fraction of the box does the pyramid fill?3 marks