A garden is being created in an area shaped like an isosceles trapezoid, as shown Topsoil is needed to fill the garden, to a depth of 2 ft, Each bag of topsoil has 16 cubic feet of soil. How many bags will be needed to fill the garden?

Answer 1

To find the volume of the garden, we first need to find the area of the base of the trapezoid.

The formula for the area of a trapezoid is A = (1/2) * (a + b) * h, where a and b are the lengths of the two bases and h is the height.

In this case:
a = 10 ft (top base)
b = 15 ft (bottom base)
h = 8 ft (height)

A = (1/2) * (10 + 15) * 8
A = (1/2) * 25 * 8
A = (1/2) * 200
A = 100 square feet

Now, to find the volume of the garden, we multiply the area of the base by the depth:
V = 100 * 2
V = 200 cubic feet

Since each bag has 16 cubic feet of soil, we divide the total volume by the volume of each bag to find the number of bags needed:
Number of bags = 200 / 16
Number of bags = 12.5

Since we can't have a fraction of a bag, we will need to round up to the nearest whole number. Therefore, 13 bags will be needed to fill the garden.