Calculate the surface area and volume of cubes, cuboids, and cylinders, and apply them to real containers and structures.
Cuboid volume=l×b×h, surface area=2(lb+bh+hl). For a cube with side a: volume=a³, surface area=6a².
Find the volume and surface area of a cuboid 8cm×5cm×4cm.
Volume=160 cm³; SA=2(40+20+32)=2×92=184 cm²
Find the volume of a cube with side 6 cm.
6³=216 cm³
Cylinder volume=πr²h, curved surface area=2πrh, total surface area=2πr(r+h).
Find the volume of a cylinder with radius 7 cm and height 10 cm (π=22/7).
22/7×49×10=1540 cm³
Find the curved surface area of a cylinder with radius 5 cm and height 12 cm (π=3.14).
2×3.14×5×12=376.8 cm²
1. Find the volume of a cuboid 10cm×6cm×5cm.
2. Find the surface area of a cube with side 9 cm.
3. Find the volume of a cylinder with radius 14 cm and height 20 cm (π=22/7).
4. Find the total surface area of a cylinder with radius 3.5 cm and height 10 cm (π=22/7).
5. A water tank is a cuboid 3m×2m×1.5m. Find its capacity in litres (1 m³=1000 L).