1.
What is the surface area of this prism

2. What is the volume of prism

SA = 69.6in²

V = 28.8in³

Step-by-step explanation:

SA = 8 × 1.5 × 2 + 8 × 2.4 × 2 + 2.4 × 1.5 × 2 = 69.6in²

V= 8 × 1.5 × 2.4 = 28.8in³

I am not a professional, I am simply using prior knowledge!

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δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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