Evaluate Roots Worksheets Grade 8

1. Noah is designing a square mural for the school art show. The area of the mural must be 484 square feet. He also wants to build a cube-shaped display pedestal for a sculpture, with a volume of exactly 729 cubic feet. What are the side length of the square mural and the edge length of the cube-shaped pedestal?
2. Mason is building a square patio in his backyard. The area of the patio needs to be 289 square feet. He also wants to build a cube-shaped planter box next to the patio. The volume of the planter box must be 343 cubic feet. What are the side length of the square patio and the edge length of the cube-shaped planter box?
3. Tane is designing a square mural for the school gymnasium wall. The mural must have an area of 625 square feet. He also wants to build a cube-shaped storage locker for art supplies that has a volume of 1,331 cubic feet. What is the side length of the square mural, in feet, and the edge length of the cube-shaped storage locker, in feet?

…and 1 more problems

1. Isabella is helping her school design a new playground. The school wants a square sandbox with an area of 441 square feet. They also want to build a cube-shaped storage box for playground balls that has a volume of 729 cubic feet. What is the side length of the square sandbox and the edge length of the cube-shaped storage box?
2. ∛(512) + √(256) = ?
3. 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)

…and 1 more problems

1. 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 512 cubic meters. What is the side length of the square garden, and what is the edge length of the cubic storage shed?
2. Noah is drawing a square on a coordinate grid. The square has vertices at (1, 1), (1, 6), (6, 1), and (6, 6). What is the side length of the square?
3. A cylindrical water tank has a diameter of 14 meters and a height of 10 meters. The tank is filled to 80% of its capacity. What is the volume of water in the tank in cubic meters? (Use π = 3.14)

…and 4 more problems