Find the area of a circle with radius \( 5 \) cm. Leave your answer in terms of \( \pi \).
\( \pi r^2 = 25\pi \) cm².
Area & Volume
8 exam-style questions on area of 2D shapes and volume/surface area of 3D solids.
3 Easy 3 Medium 2 Hard
A rectangle measures \( 8 \) cm by \( 5 \) cm. Find its area and perimeter.
Area \( = 40 \) cm². Perimeter \( = 26 \) cm.
Find the volume of a cuboid \( 4 \) cm × \( 3 \) cm × \( 6 \) cm.
\( 4 \times 3 \times 6 = 72 \) cm³.
A cylinder has radius \( 3 \) cm and height \( 10 \) cm. Find its volume in terms of \( \pi \).
\( V = \pi r^2 h = 90\pi \) cm³.
A triangle has base \( 12 \) cm and height \( 7 \) cm. Find its area.
\( \dfrac{1}{2} \times 12 \times 7 = 42 \) cm².
The circumference of a circle is \( 31.4 \) cm. Taking \( \pi = 3.14 \), find the radius.
\( C = 2\pi r \) ⇒ \( r = \dfrac{31.4}{2 \times 3.14} = 5 \) cm.
A cone has base radius \( 4 \) cm and height \( 9 \) cm. Find its volume in terms of \( \pi \).
\( V = \dfrac{1}{3}\pi r^2 h = \dfrac{1}{3}\pi \times 16 \times 9 = 48\pi \) cm³.
A sphere has radius \( 3 \) cm. Find its surface area in terms of \( \pi \).
\( 4\pi r^2 = 4\pi \times 9 = 36\pi \) cm².