Answer:
128.86 cm^2
Step-by-step explanation:
So to start off we need to find the area of the rectangle.
The formula for the area of a rectangle is
×
.
L stands for the length which is 12 and w is the width which is 11.
So 11 × 12 = 132 cm^2.
Now time for the area of a circle.
The formula for that is
.
So first we need to do 1 × 1 which is 1.
Then 1 ×
which is just
.
Then we do 132 -
which is an irrational number.
It looks like this shortened 128.858407346.
Now rounding to the nearest hundreth it would be 128.86 cm^2.
Hence, the area of the shaded region is 128.86 cm^2.
Find the volume of the rectangular prism.
V = lwh
V = (9)(16)(4)
V = 756 ft^3
Convert to cubic yards:
1 ft^3 = 0.037037037 yd^3
756 * 0.037037037 = 28
So there are 28 cubic yards of dirt he needs.
Multiply this to 25 to find the total cost of the dirt:
28 * 25 = 700
So the project will cost $700
Answer:

Step-by-step explanation:
Given



Required
Find the height of the prism
Volume (V) is calculated as:

Substitute values for V, L and W

Make H the subject



Divide:


The height of the prism is: 