A pyramid has a rectangular base of dimensions 15 cm and w cm. Given that its height and volume are 18 cm and 826 cm3 respectively, find the value of w.

9.18 cm

Step-by-step explanation:

A  pyramid is a three-dimensional object. The base of a pyramid is a polygon. the top and the base of a polygon forms a triangle.

for a rectangular pyramid, the base is a rectangle  

The volume of a pyramid = 1/3 × (area of the rectangle x height)

Area of a rectangle = length x width

15 x w = 15w cm²

826 = 1/3 x (15w x 18)

multiply both sides of the equation by 3

15w x 18 = 2478

Divide both sides of the equation by 15 x 18

w = 9.18 cm

divide both sides by 10

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get