Answer:
6.5 hours
Step-by-step explanation:
First try to find the rate he can paint per hour
375 ÷ 3 = 125 ft^2 per hour
Then try to find how long it should take it for him to paint 812.5 sq ft
812.5 ÷ 125 = 6.5 hours
R - 10 = 18 - r
2r = 28
r = 14
Rectangular parallelepiped, right rectangular prism)
lwh
Prism
bh
Given:
Hexagonal pyramid
To find:
The edges of an hexagonal pyramid.
Solution:
Edges means lines which connecting to vertices.
Edges in the base of the pyramid:
AB, BC, CD, DE, EF, FA
Edges in the triangular shape of the pyramid:
AG, BG, CG, DG, EG, FG
Therefore edges of an hexagonal pyramid are:
AB, BC, CD, DE, EF, FA, AG, BG, CG, DG, EG, FG
Answer: A. Factor 2 => 4x greater
Factor 3 => 9x greater
Factor 5 => 25x greater
Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:
A = 2.π.r.h
A cylinder of radius r and height h has area:
= 2πrh
If multiply both dimensions <u>by a factor of 2</u>:
= 2.π.2r.2h
= 8πrh
Comparing
to
:
=
= 4
Doubling radius and height creates a surface area of a cylinder 4 times greater.
<u>By factor 3:</u>


Comparing areas:
=
= 9
Multiplying by 3, gives an area 9 times bigger.
<u>By factor 5</u>:


Comparing:
=
= 25
The new area is 25 times greater.
B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.