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