You buy a ring box as a birthday gift that is in the shape of a triangular prism. what is the least amount of wrapping paper needed to wrap the box?
(my picture is above.)

We are given triangular prism with height 8cm and three sides as 10 cm, 10.5 cm and 14.5 cm.

Now surface area is given by:

Area of three rectangular faces :

face 1: (l*w) = 8*10.5 = 84 cm²..................(1)

face 2: (l*w) = 8*10 = 80 cm² ....................(2)

face 3: (l*w) = 14.5 * 8 =116 cm² ..................(3)

Now we have two right angled triangles here with base 10 cm and height 10.5 cm.

Area of triangle is given by

plugging base and height,

Area of two triangles = 105 cm²................(4)

Adding the four areas to get the total surface area

Area= 84 +116 +80 + 105 = 385 cm²

Answer : the least amount of wrapping paper needed to wrap the box is 385 square cm.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,