Answer these questions. Show your work if you can!
Word Problem: Lily is making a path in her game. The first stepping stone is at X=2, Y=1, Z=5. She wants to place the next stone 4 units away, further along the Z line. What is the Z spot for the second stone?
SVG Diagram Needed: A number line representing the Z-axis. Mark the initial position of the stepping stone at Z=5. Show an arrow 4 units long pointing to the right (positive direction) from Z=5, ending at Z=9. Label the starting point 'Stone 1 (Z=5)' and the ending point 'Stone 2 (Z=9)'.
(Keywords: number line, coordinate system, z-axis, position, movement)
A red block is at (X=8, Y=3, Z=10). You move it 5 units up. What is its new (X, Y, Z) spot? (Remember, up is along the Y line.)
SVG Diagram Needed: A simplified 3D coordinate system with X, Y, and Z axes. Show a point representing the red block at (8, 3, 10). Show an arrow moving upwards along the Y-axis from Y=3 to Y=8. Label the starting point '(8, 3, 10)' and the end point '(8, 8, 10)'.
(Keywords: 3D coordinates, x-axis, y-axis, z-axis, movement, translation)
A blue platform is 6 units long and 7 units wide. What is the area of the top of this platform?
A treasure chest part has these sizes: Length=2 units, Width=3 units, Height=1 unit. If you make it two times bigger on all sides, what are its new Length, Width, and Height?
SVG Diagram Needed: A rectangular prism (treasure chest) with dimensions 2x3x1. Show a second, larger rectangular prism next to it with dimensions 4x6x2. Label each dimension clearly.
(Keywords: rectangular prism, scaling, length, width, height, multiplication)
A wall is 12 units high. If you want to make it only one-third ($\frac{1}{3}$) as high, what will be its new height?
SVG Diagram Needed: A vertical line representing the wall with original height marked as 12 units. Divide the line into three equal segments. Highlight one segment (4 units) to represent the new height.
(Keywords: fraction, one-third, division, height, scaling)
'What If' Scenario: What if a bouncy platform is at X=15, Y=5, Z=20. You need to move it so its X spot becomes 5. How many units do you move it? Do you move it left or right along the X line?
SVG Diagram Needed: A number line representing the X-axis. Mark and label the platform's initial position at X=15. Show an arrow pointing left (negative direction) 10 units long, ending at X=5. Label the end point X=5.
(Keywords: number line, x-axis, movement, subtraction, direction)