Three dimensional ( 3-D) shapes are also called solid shapes. They have length, breadth and height unlike 2-D shapes that have only length and breadth. Examples of 3-D shapes are cubes, cuboids, cylinders, prisms, pyramids and spheres. They are also called geometrical solids.
Key words
Face: a surface of solid shape
Edge: a line on a solid where two faces meet
Vertex (plural vertices): a point or corner on a solid, usually where edges meet
Net: a flat shape that you can fold to make a solid
General Evaluation/Revision Questions
- A rectangular prism ( cuboid) has a volume of 680cm3 and its height is 20cm. What is the area of the base of the prism?
- The base of a swimming pool is 192m2. The depth of the swimming pool is 1.8m. find the volume of water the swimming pool can hold.
- A book measures 18cm by 12cm by 3cm. Calculate its volume
Reading Assignment
- Essential Mathematics for J.S.S 1 by A. J. S Oluwasanmi, page 212-222.
Weekend Assignment
- What is the volume of a cube of edge 5cm. (a) 15cm3 (b) 75cm3 (c) 125cm3 (d) 25cm3
- Find the volume of air in a container whose dimensions are: length = 25cm, width = 20cm and height= 10cm (a) 5000cm3 (b) 2500cm3 (c) 4500cm3 (d) 500cm3
- The volume of a cube is given as 512cm3. What is the length of one edge of the cube? (a) 10cm (b) 6cm (c) 4cm (d) 8cm
- How many small cubes of edge 2cm can be placed together to make the cube in question 3 above? (a) 66 (b) 32 (c) 64 (d) 128
- Calculate the volume of a cuboid with dimension 18cm by 12cm by 8cm. (a) 1728cm3 (b) 512cm3 (c) 144cm3 (d) 1872cm3
Theory
- The base of a cuboid has one side equal to 10cm, and the other side is 5cm longer. If the height of the cuboid is 7cm, find the volume of the cuboid.
- A cuboid measures xcm by 3xcm by 5xcm
- Work out the volume of the cuboid in terms of x
- What is the volume of the cuboid if x = 10cm?
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