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Answer: 1300 cm³
a) Find the volume of the entire rectangle and subtract the volume of the missing section. Volume = L · w · h
Solid = Rectangle - Missing section
= L · w · h - L · w · h
= 16 · 10 · 10 - 10 · 6 · 5
= 1600 - 300
= 1300
b) Find the volume of each section of the rectangle (base, left wing right wing) and add them. Volume = L · w · h
Solid = Base + Left wing + Right wing
= L · w · h + L · w · h + L · w · h
= 16 · 10 · 5 + 5 · 10 · 5 + 5 · 10 · 5
= 800 + 250 + 250
= 1300
The answer from (a) is the same as (b)
If the density of the man is 1.0321 grams per cubic cm. Then the body fat percentage will be 28.59%.
<h3>What is a function?</h3>The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
An older method of estimating body fat percentage was to measure a person's average density (total mass divided by total volume) and apply a formula to convert it to a body fat percentage.
where BF = body fat and p = density in g/cm3 A man weighs 175 pounds.
A man weighs 175 pounds.
His total body volume is modeled by a cylinder with a height of 170 cm and a radius of 12 cm.
Then the density will be
Then the Body fat percentage will be
More about the function link is given below.
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