Evaluate Roots Worksheets Grade 8
Algebra
Perfect Squares and Cubes
Each printable worksheet below is a full page of practice problems and comes with an answer key that explains how to solve every problem, step by step. Open a worksheet and use the Print / Save as PDF button to download it.
Worksheet 1
8 problems- Emma is designing a community garden with a square plot that has an area of 256 square meters. She wants to build a cubic storage shed for gardening tools where the volume is exactly 1,728 cubic meters. What is the side length of the square garden, and what is the edge length of the cubic storage shed?
- Liam is designing a community garden with a square vegetable patch that has an area of 289 square feet. He wants to build a cubic storage bin for tools where the volume is exactly 512 cubic feet. What is the side length of the square garden, and what is the edge length of the cubic storage bin?
- ∛(125) + √(64) = ?
…and 5 more problems
Open & Print Worksheet 1Worksheet 2
4 problems- Kaia is an artist designing a square canvas for her next painting. The area of the canvas is 529 square inches. She also wants to create a small cubic sculpture to place beside the canvas. The volume of the cube is 343 cubic inches. What is the side length of the square canvas in inches, and what is the edge length of the cubic sculpture in inches?
- A cylindrical water tank has a diameter of 10 meters and a height of 8 meters. The tank is filled to 70% of its capacity. What is the volume of water in the tank in cubic meters? (Use π = 3.14)
- A cylindrical water tank has a diameter of 12 meters and a height of 8 meters. The tank is currently filled to 75% of its capacity. What is the volume of water in the tank in cubic meters? (Use π = 3.14)
…and 1 more problems
Open & Print Worksheet 2Worksheet 3
6 problems- A cylindrical water tank has a diameter of 10 meters and a height of 8 meters. The tank is currently filled to 60% of its capacity. What is the volume of water in the tank in cubic meters? (Use π = 3.14)
- Mason is helping his school design a new square playground that will have an area of 1,225 square meters. The school also wants to build a cubic storage shed for sports equipment with a volume of exactly 1,331 cubic meters. What is the side length of the square playground in meters, and what is the edge length of the cubic storage shed in meters?
- Emma is designing a community garden with a square plot that has an area of 324 square meters. She wants to build a cubic rainwater collection tank where the volume is exactly 1,728 cubic meters. What is the side length of the square garden, and what is the edge length of the cubic tank?
…and 3 more problems
Open & Print Worksheet 3Prefer interactive practice with instant feedback and progress tracking? Try LessonBunny free — 10 problems, no signup required.