Answer:
D
Step-by-step explanation:
using the definition of n
= 
where n! = n(n- 1)(n - 2)......× 3 × 2 × 1
here n = 7 and r = 4, hence
7
= 
= 
← cancel 3 × 2 × 1 leaving
7 = 7 × 6 × 5 × 4 = 840 → D
The volume of the prism = 14 ft³
Solution:
Number of cubes in the prism = 1750
Edge length of each cube (a) = 
ft
<u>To find the volume of each cube:</u>
Volume of each cube = a³
Volume of each cube 
<u>To find the volume of the prism:</u>
Volume of the prism = Volume of each cube × Number of cubes
= 14 ft³
The volume of the prism = 14 ft³
<span>3p - 6 > 21 <=> 3p > 21+6 <=> 3p > 27 <=> p > 27/3 <=> p > 9. So the answer is B. When solving inequalities the idea is to move the terms which contain the unknown quantity to one side and the rest of the terms to the other side. And then perform valid mathematical operations to find the interval value for the unknown quantity.</span>
The surface area of the cylinder is 18.84 square feet
<h3>How to determine the surface area?</h3>
The given parameters are
Height, h = 2 ft
Diameter, d = 2 ft
The radius (r) is half of the diameter (d)
This is calculated as:
Radius = Diameter/2
So, we have:
r = d/2
Substitute 2 for d
r = 2/2
Evaluate the quotient i.e. divide 2 by 1
r = 1
The surface area is then calculated using the following formula
A = 2πr² + 2πrh
Substitute the given values in the above equation
So, we have:
A = 2 * 3.14 * 1^2 + 2 * 3.14 * 1 * 2
Evaluate the exponents
A = 2 * 3.14 * 1 + 2 * 3.14 * 1 * 2
Evaluate the products
A = 6.28 + 12.56
Evaluate the sum
A = 18.84
Hence, the surface area of the cylinder with the given height and radius is 18.84 square feet
Read more about surface area at:
brainly.com/question/2835293
#SPJ1
