A 300-page book is 10 inches long, 8 inches wide, and 3 4 inches tall. What is the volume of 100 pages of the book?
2 answers:
Answer:
20 inches cubed
Step-by-step explanation:
The only thing that will change if we want to find the volume of 100 pages of the book will be the height. Previously for the 300 pages, the height was 3/4 inches. Now, however, it will be a third of that because 100 = 300/3. So, the new height will be: (3/4) / 3 = 1/4 inches.
The length of 10 inches and width of 8 inches will still be the same. The volume of a rectangular prism (the shape of the book) is: , where
is the length, w is the width, and h is the height.
h = 1/4
w = 8
= 10
V = 10 * 8 * (1/4) = 80/4 = 20 inches cubed
The volume is thus 20 inches cubed.
Hope this helps!
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Answer:
C(x) =
Step-by-step explanation:
Data provided in the question:
Area of the field = 3600 square feet
Fencing charges = $3.50 per foot
Let the side along the river be 'x' feet and the other side of the 'B'
now,
Area of rectangle = Bx = 3600 square feet
or
B = feet
and total length to be fenced = x + 2B
therefore,
Total cost of fencing = Fencing charges × total length to be fenced
or
Total cost of fencing = $3.50 × ( x + 2B )
substituting the value of B from (1)
Total cost of fencing, C(x) =
or
C(x) =