Geometry & Measurement - 20 Challenging Questions
Practice worksheet with interactive questions
A composite shape has a 25×18 ft rectangle with a 10×8 ft section removed. Flooring costs $7/ft². What's the total flooring cost?
Calculate net area, then multiply by cost
A building facade has: rectangle (40×30 ft), 2 triangles (base 20, height 15 each), parallelogram (base 30, height 12). Total area?
A box has volume 360 cm³, length 10 cm, and width 6 cm. Height = ___ cm
Divide volume by (length × width)
Three storage units with same 500 ft³ volume. Unit A: 10×10×5. Unit B: 20×5×h. Find Unit B's height.
Set up equation using equal volumes
When all dimensions of a rectangular prism are doubled, volume increases 8 times.
Rectangle ABCD has corners at (2,1), (8,1), (8,5), (2,5). What's the area?
Point (5, 3) is rotated 90° clockwise, then translated left 4. Final position?
Apply rotation first, then translation
A triangle with equal areas of 90 m² has base 15 m. A parallelogram with same area has base 18 m. Height difference = ___ m
Calculate each height separately
A pool is 25×10×2 m. One cubic meter equals 1,000 liters. How many liters does it hold?
Calculate volume, then convert to liters
Point A(-4, 2) reflected across y-axis gives B. Point B rotated 180° gives C. What's point C?
A warehouse 30×20×12 ft can hold 225 boxes of 2×2×2 ft with 75% packing efficiency.
House-shaped plot: 50×40 ft rectangle + triangle (base 50, height 20). Perimeter including all edges = ___ ft
Add all outer edges
A shape at (3, 4) is reflected across x-axis, then y-axis, then translated up 5. Final position?
Apply each transformation in sequence
Complex floor: 3 rectangles (15×10, 20×8, 12×10) + 2 triangles (base 10, height 8 each). Total area?
A rectangular prism has square base with side s and height 12 cm. Volume is 432 cm³. Find s.
Square base means length = width = s
Four delivery points form rectangle: A(0,0), B(8,0), C(8,6), D(0,6). Delivery route A→B→C→D→A = ___ units
This is the rectangle's perimeter
A parallelogram (base 20, height 12) and triangle (base 30, height 16) have same area 240.
Shipping container 20×8×8 ft holds boxes of 1×1×1.5 ft. With 80% efficiency, how many boxes?
Create symmetric design: center at origin. Place point at (4, 3). Where are its reflections across both axes?
Reflect across each axis and both
Triangular prism (triangle base 8×6, length 15 cm). Volume = ___ cm³
Volume = base area × length
Get a PDF version of this worksheet to print and complete offline. Perfect for students who prefer working on paper or need practice without a device.