Answer:
12a. 471.2 cm²
12b. 60 m²
Step-by-step explanation:
Part A.
The surface area of each figure is the sum of the end area and the lateral area.
<u>cylinder</u>
S = (2)(πr²) +2πrh = 2πr(r +h)
S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²
__
<u>triangular prism</u>
S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism
S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²
_____
Part B.
Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.
Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.
The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).
Answer:
5 seconds
Step-by-step explanation:
hope it helps
correct me if i'm wrong
4 1/3 = 13/3 = 1/3 x 13/1 = 4 1/3
Answer:
10 mi
Step-by-step explanation:
In this question you have to use Pythagorus Theorem. a²+b²=c²
a = 15
b = 20
So, 15²+ 20² = c²
= 225 + 400 = 625
So Ferris to Butte is
which is 25.
So now you would do 15 + 20 to find out Wayne's distance. 35 - 25 = 10.
Hope it made sense and I didn't waffle
Answer:
Area of square pyramid is
.
Step-by-step explanation:
Diagram of the given scenario is shown below,
Given that,
The Great Pyramid in Giza, Egypt is a square pyramid. The area of base shape is made up with square is
. The side of the square is
and The height of each triangle is
.
So, Area of Square shape = 
Side of square = 
Height of each triangle = 
Finding the Height of triangular shape which is here known as slant height.
In Δ ABO, applying Right angle pythagorean Theorem,
Base
= 
Height
= 
Now,
∴ 
⇒ 
⇒ 
⇒ 
⇒ 
Then,
Area of square pyramid = 
=
= 
= 
= 
Hence, Area of square pyramid is
.