Answer:
Area of model pond = 45.6 inch² (Approx.)
Step-by-step explanation:
Given:
Circumference of circular pond = 24 inches
Find:
Area of model pond
Computation:
Circumference of circle = 2πr
Circumference of circular pond = 2πr
24 = 2[22/7][r]
Radius r = [24 x 7] / [2 x 22]
Radius r = 3.81 inch (Approx.)
Area of circle = πr²
Area of model pond = πr²
Area of model pond = (22/7)(3.81)²
Area of model pond = [3.1428][14.5161]
Area of model pond = 45.6 inch² (Approx.)
We are tasked to solve for the ratio of the two boxes. Boxes are cubes. We can use the formula in solving the surface area of the box as shown below:
Surface Area of Cube = 6a² where "a" is the length of the side.
For smaller box:
Area= 6(12)²=864
Area =864
For the larger box:
Area = 6(18)²
Area=1944
Then, the ratio is:
Area smaller box/Area larger box =864/1944
Ratio=4:9
Answer:
should be 64:3
Step-by-step explanation:
divide by 10