A carton has a length of LaTeX: 2\frac{1}{2}2 1 2 feet, width of LaTeX: 3\frac{1}{2}3 1 2 feet, and height of LaTeX: 55 feet. What is the volume of the carton? Group of answer choices

LaTeX: 43\frac{3}{4}43 3 4 cubic feet

11 cubic feet

30 cubic feet

LaTeX: 48\frac{1}{8}48 1 8 cubic feet

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. the diameter of the base of the cone is approximately three times the altitude. at what rate is the height of the pile changing when the pile is 12 feet high? (hint: the formula for the volume of a cone is v = 1 3 πr2h.)

Sadie computes the perimeter of a rectangle by adding the length, l, and width, w, and doubling this sum. eric computes the perimeter of a rectangle by doubling the length, l, doubling the width, w, and adding the doubled amounts. write an equation for sadie’s way of calculating the

When 142 is added to a number the result is 64 more then 3 times the number. option 35 37 39 41