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storchak [24]
3 years ago
8

a rectangular prism has a volume of 33 3/4 cubic inches and a height of 2 and 1/4 in what is the area of the base​

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
6 0

Answer:

The area of the base is 15 in²

Step-by-step explanation:

33 3/4 = 33.75

2 1/4 = 2.25

To calculate the area base of a rectangular prism we have to use the following formula:

a = area

v = volume  = 33.75 in³

h = height  = 2.25 in

v = a * h

we solve a

a = v / h

we replace the values that ​​we know        

a = 33.75 in³  / 2.25 in

a = 15 in²

The area of the base is 15 in²

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<h3><u>Question:</u></h3>

Ishaan is 2 times as old as Christopher. 35 years ago, Ishaan was 7 times as old as Christopher. How old is Christoper now?

<h3><u>Answer:</u></h3>

The present age of Christoper is 42 years old

<h3><u>Solution:</u></h3>

Given that Ishaan is 2 times as old as Christoper

Let the present age of Christoper be "x"

Then, Present age of Ishaan = 2 times as old as Christoper

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<em><u>35 years ago, Ishaan was 7 times as old as Christopher</u></em>

Age of Ishaan 35 years ago = Present age of Ishaan - 35

Age of Ishaan 35 years ago = 2x - 35

Similarly,

Age of christoper 35 years ago = Present age of christoper - 35

Age of christoper 35 years ago = x - 35

From given statement, 35 years ago, Ishaan was 7 times as old as Christopher

Age of Ishaan 35 years ago = 7 times the age of Christoper 35 years ago

(2x - 35) = 7(x - 35)

<em><u>Solve the above equation for "x"</u></em>

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