Assume a box has a square base and the length of a side of the base is equal to twice the height of the box. a. If the height is 6 inches, what are the dimensions of the base? The dimensions of the base are inches X inches = square inches. b. Write functions for the surface area and the volume that are dependent on the height, h. S(h) = nh" square inches, where n = and m = V(h) = ph° cubic inches wherep = and q = c. If the volume has increased by a factor of 27, what has happened to the height? The new height is times the original height. d. As the height increases, what will happen to the ratio of (surface area)/volume? The ratio will not change eTextbook increase decrease

A circular puddle is growing as syrup is poured onto the center of a large pancake. The height of the puddle remains at 4 mm while the radius increases. The syrup is added at a constant rate of 20 cubic mm per second. What is the rate the radius is increasing when 314.159 cubic mm have been poured? Use the variables V for volume, h for height, and r for radius. Give the correct label for each value in terms of these variables. 4= 20= 314.159= What the question is asking for=

What do we say if the truncation error if it is proportional to h?

Please give me complete, neat, and organized solutions and boxed final answers.

According to Boyle's law, which graph shows the relationship between the pressure (æ) and volume (y) for a certain amount of gas?

For the scenario below, determine which calculation should be made: Lateral Surface Area, Total Surface Area, or Neither.   A construction worker needs to find out how much water it will take to fill the swimming pool.

A surveyor measured the length of a piece of land at 100-ft intervals (x), as shown in the table. Use Simpson's Rule to estimate the area of the piece of land in square feet. Give the value of n on line 1. the Area on line 2. x Length (ft) 0 40 100 50 200 70 300 45 400 40