Using cubes 0 Overview Using this Resource Connecting to the Curriculum Marking Student Responses Working with Students Further Resources This task is about working out perimeter and volume. Question 1Change answer A Soma cube is made from 27 small cubes. Each small cube has a side measurement of 3 cm. A Soma cube is made from 27 small cubes. Each small cube has a side measurement of 3 cm. a) What is the length of one side of the Soma cube? cm b) What is the volume of the cube? cm^{3} Question 1Change answer Jack made a cross from 5 cubes. Each small cube has a side of 4 cm. Jack made a cross from 5 cubes. Each small cube has a side of 4 cm. c) What is the perimeter of the front face of the cross? cm d) What is the volume of the cross? cm^{3} Task administration: This task can be completed with pencil and paper or online (with SOME auto marking). Level: 4 Curriculum info: Maths, Geometry and Measurement, Measurement Keywords: length, perimeter, volume, cuboids, 3-dimensional shapes Description of task: Students calculate the volume of 3-dimensional shapes made up from cubes. Learning Progression FrameworksThis resource can provide evidence of learning associated with Measurement sense, sets 6-7Multiplicative thinking, sets 6-7 within the Mathematics Learning Progressions Frameworks.Read more about the Learning Progressions Frameworks. Answers/responses: Y8 (07/1997) a) 9 easy b) 729 (9 × 9 × 9) [Accept if = a)^{3}.] difficult c) 48 difficult d) 320 very difficult Diagnostic and formative information: Common errors Likely calculation Likely misconception a) b) 3 27 3 3 × 3 × 3 Ignores that each cube is 3 cm. a) 27 3 × 3 × 3 Confuses length with area and volume. b) 81 9 × 9 Confuses area and volume. c) 16 12 20 4 × 4 4 × 3 5 × 4 Counts only some of the perimeter. Counts only some of the perimeter. Assumes each of the 5 cubes contributes 4 cm to the perimeter. d) 20 80 5 × 4 5 × 4 × 4 Confuses length and volume. Confuses area and volume. Volume and surface area II Packing chocolate Volume and capacity Different capacities Holding millilitres Estimating the room How many blocks? Dripping Tap