Answer:
2. c) 1050 mm³
3. c) 8 yards.
Step-by-step explanation:
Given the following data;
Length = 25mm
Width = 7 mm
Height = 6 mm
To find the volume of the rectangular prism;
Volume of rectangular prism = base area * height
First of all, we would determine the base area;
Base area = length * width
Base area = 25 * 7
Base area = 175 mm²
Next, we find the volume;
Volume of rectangular prism = 175 * 6
Volume of rectangular prism = 1050 mm³
Question 2.
Given the following data;
Length = 9 yards
Width = 7.5 yards
Volume = 540 cubic yards
To find the height of the rectangular prism, x;
Volume of rectangular prism = length * width * height
540 = 9 * 7.5 * x
540 = 67.5x
x = 540/67.5
Height, x = 8 yards
Answer:
Step-by-step explanation:
1. Area of base
The radius given is that of the circumcircle.
The general formula for the edge length a of a regular polygon is
a = 2Rsin(π/n)
So,
a = 2 × 5 × sin(π/5) = 10sin0.6283 = 10 × 0.5878 = 5.878 in
The general formula for the area of a regular polygon is
A = ¼na²cot(π/n)
So,
A = ¼ × 5 × 5.878²cot(π/5) = ¼ × 5 × 5.878² × 1.376 = 59.44 in²
2. Lateral area
The general formula for the lateral area L of regular prism is
L = nah
So,
L = 5 × 5.878 × 12 = 352.7 in²
3. Total area
Total surface area = lateral area + 2×base area
S = L + 2B = 352.7 + 2 × 59.44 = 471.6 in²
Solution is supposed to be as follows
<span>u+<span>2 / 3</span><span> u<span>^3/2</span></span>
=r+<span>2 / 3</span><span> r^<span>3/2</span></span> + <span>c</span></span>
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡿⠛⠛⠛⠛⠻⢿⡿⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⡇⠀⠀ ⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣧⣇⠀⠀⠀⣀⣤⣶⣷⠀⠠⠀⠀⠀⠀⠀
⠀⣀⠀⣠⣤⢀⣀⣠⣤⣤⣤⣤⣤⣿⣿⣿⣄⣼⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀
⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠻⣿⣷⠀⠀
⣸⣿⣿⣿⡿⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠘⣿⡷⠀
⠻⢿⣿⡏⠀⠀⣶⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⣿⣧⣀
⠀⠀⢹⣷⡀⠀⠀⠀⢀⣿⣿⣉⡉⠉⠉⠉⠉⢙⣿⣷⣄⠀⠀⠀⠀⢀⣼⣿⠛⠓
⠀⠈⠛⠛⠛⠓⠒⠚⠛⠛⠛⠛⠛⠋⠙⠛⠛⠛⠛⠟⠿⠷⠶⠶⠾⠿⢿⠿⠿⠿ Don't mind me, just a feller out on the farm.
If you include the statements I could help :)
