What is the surface area of this shape?
2 answers:
Step-by-step explanation:
Hey there!
Given figure is a triangular based prism. Where the triangle is right angled triangle.
So,
Hypotenuse (h) = 6.5m
Perpendicular (p) =2.5 m
Base (b) = 6m
Length of triangular prism (l) = 10m.
We have;
Lateral surface area= Perimeter*length of prism.
LSA = (6.5+2.5+6) * 10
LSA = 15*10
Therefore, LSA of the shape is 150 m².
Now, Area of base=( 1/2 )*b*p
= (1/2)*(6*2.5)
= 7.5 m²
Therefore, area of base = 7.5 m²
Now, TSA= 2*Area of base+LSA
= (2*7.5 + 150) m²
= 165 m²
Therefore, the Total surface area is 165 m².
Hope it helps....
You might be interested in
<h2>Answer:</h2>
1. A coin is tossed four times. What is the probability of getting four heads?
Each toss has a 1/2 chance of getting a head.
So the chance of getting all four heads can be calculated as :
2. A coin is tossed four times. What is the probability of getting two heads?
Each toss can have 2 results, so 4 flips will have or 16 results.
Getting two heads means getting two tails also. So, we can get the number of times two heads come = = 6
We can write the groups like - {HHTT,HTHT,HTTH,THHT,THTH,TTHH}
So, the required probability is : 6/16 or 3/8.
3. Not getting two heads means getting 3 tails and 1 head or all tails.
Probability of having all tails =
Probability of one head(1st trial) and three tails = 1/16
Probability of one head (2nd trial) and three tails (the 1st, 3rd and 4th trials) = 1/16
Probability of one head (3rd trial) and three tails (the 1st, 2nd and 4th trials) = 1/16
Probability of one head (4th trial) and three tails (the 1st, 2nd and 3rd trials) = 1/16
So, the total probability showing only one or none head and at least three tails =