Will mark brainliest if correct and all parts of the question 1. a box without a top is to be made from a rectangular piece of cardboard, with dimensions 8 in. by 10 in., by cutting out square corners with side length x and folding up the sides. (a) write an equation for the volume v of the box in terms of x. (b) use technology to estimate the value of x, to the nearest tenth, that gives the greatest volume. explain your process.

(a) The dimensions of the base of the box are (8 -2x) and (10 -2x). The depth of the box is x. The volume is the product of these dimensions.
  V = x(8 -2x)(10 -2x)

(b) A graphing calculator is suitable "technology". The process is ...
• write the equation in the calculator
• adjust the scaling so the curve fills the display area
• select the maximum point to reveal its coordinates

The value of x that maximizes box volume is about 1.5 inches.