Surface area and volume of 3D solidsIB MYP Maths Extended: Flashcards

What these 13 flashcards ask

Volume of a prism?
Volume of a cylinder?
Curved surface area of a cylinder?
Total surface area of a closed cylinder?
Volume of a pyramid?
Volume of a cone?
Curved surface area of a cone?
Volume of a sphere?
Surface area of a sphere?
Slant height or perpendicular height: which goes in the volume formula?
1 cm^3 in mm^3?
1 m^3 in litres?
1 litre in cm^3?

Exam questions on Surface area and volume of 3D solids

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
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
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

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).