Lesson Plans SET A for Grades 5-6-Homework Level 5-6 Lesson 8

Homework Level 5-6 Lesson 8 - 3D Geometry

Pdf Summary

The homework assignment is a set of questions designed for students at a Level 5-6 proficiency in Math Kangaroo's 3D Geometry. The problems involve understanding geometrical shapes, surface areas, volumes, and spatial reasoning. Here’s a brief overview of each question provided in the assignment:<br /><br />1. **Painting Solids:** Students need to determine which of various 3D solids, all composed of identical cubes with bases made of 8 cubes, require the same amount of paint when all faces are painted. The answer indicates that solids labeled (C), (D), and (E) need equal amounts of paint.<br /><br />2. **Cube with Corners Cut Off:** This problem involves visualizing and drawing the net of a cube after two opposite corners are cut off. Students must unfold the cube into a flat net, then visualize refolding it to check their accuracy. The answer suggests that various solutions are acceptable.<br /><br />3. **Rearranging Blocks:** Given five figures (A) through (E), each consisting of exactly 5 blocks, students are challenged to find which figures can be modified by moving just one block to match a given target figure. The valid solutions are figures (B), (C), (D), and (E).<br /><br />4. **Change in Surface Area and Volume:** This involves calculating the reduction in surface area and volume when a rectangular block has a section removed. The correct reduction in surface area is 550 cm² and in volume is 75 cm³.<br /><br />5. **Modifying a Cube of Small Cubes:** Students must determine how many smaller cubes (from a 3x3x3 cube) should be removed to match a particular view from the right, above, and front. The answer indicates that 12 small cubes need to be removed.<br /><br />These exercises aim to enhance students' ability to visualize and compute properties of three-dimensional figures.

Keywords

3D Geometry

Math Kangaroo

surface area

volume

spatial reasoning

geometry shapes

cube net

block rearrangement

visualization

geometry proficiency