Rearrange Formulas Worksheets Grade 9

1. A right circular cone has a height of 18 cm and a base radius of 8 cm. A horizontal cross-section is taken at a height of 12 cm from the vertex. What is the radius of this circular cross-section?
2. Rearrange V = (1/3)πr²h to solve for r
3. Rearrange A = 2πr² + 7πrh to solve for h.

…and 4 more problems

1. Liam is designing a rectangular garden with a fixed perimeter of 40 meters. He wants to express the area A of the garden as a function of its width w. The length of the garden can be determined from the perimeter constraint. Write the formula for A in terms of w.
2. Aisha is designing a skateboard ramp with a triangular cross-section. The ramp's height is 2 meters less than its base length, and the area of the triangular cross-section is 12 square meters. If Aisha represents the base length as b meters, what equation should she use to find the dimensions of her ramp?
3. √(x² - 10x + 25) = 7

…and 5 more problems

1. Olivia is designing a rectangular garden. The area A of the garden is given by the formula A = l * w, where l is the length and w is the width. She wants to rearrange this formula to solve for the width w in terms of the area A and length l. What is the expression for w?
2. A rectangular garden has a length that is 3 meters more than twice its width. The area of the garden is 65 square meters. Write an equation in terms of the width w that represents this situation, then solve for the width of the garden.
3. A rectangular prism has a volume V = 96 cubic units. The prism's height is h units, and its base is a square with side length s units. The volume formula is V = s²h. If the height of the prism is 6 units, what is the side length s of the square base?

…and 4 more problems