Root Equations Worksheets Grade 8

1. Liam is designing a square garden with an area of 289 square feet. He needs to build a fence around the perimeter and also calculate the volume of a cubic storage container that can hold exactly 512 cubic feet of soil. What is the total length of fencing needed for the garden's perimeter, and what is the length of one edge of the storage container?
2. A right triangle is drawn on a coordinate plane with vertices at (0,0), (12,0), and (12,5). A square is constructed such that one of its sides lies along the hypotenuse of the triangle, and the square is positioned entirely outside the triangle. What is the area of this square?
3. The volume of a cube is 216 cubic centimeters. If each side length of this cube is increased by 2 centimeters, what is the new volume of the cube in cubic centimeters?

…and 4 more problems

1. Liam is designing a square garden with an area of 289 square feet. He wants to build a cube-shaped planter box 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 cube planter?
2. Maya is designing a square mosaic for her art project. The mosaic has an area of 196 square inches. She also needs to calculate the side length of a cube-shaped storage box that can hold exactly 729 cubic inches of art supplies. What is the side length of Maya's square mosaic, and what is the edge length of the cube storage box?
3. √(144) + ∛(125) - 2² = ?

…and 2 more problems

1. Maya is designing a square mosaic for her art project. The mosaic has an area of 196 square inches. She also needs to calculate the edge length of a cube-shaped storage box that can hold exactly 729 cubic inches of art supplies. What is the side length of Maya's mosaic, and what is the edge length of the storage box?
2. ∛(x - 10) = 5. Solve for x.
3. ∛(x - 7) = 5. Solve for x.

…and 4 more problems