This is the concept of volume of solid figures, the volume of a given figure is given by:
volume=(base area)*(height)
In our case the base area will be given by the area of the trapezoid. Which is:
Area=1/2*h*(a+b)
height,h=x
a=x
b=2x
thus;
Area=1/2*x*(2x+x)=3/2x^2
Given that the height of the prism is 20 units, the volume will be:
V=(3/2 x^2*20)
V=30x^2 cubic units
The answer is 30x^2 cubic units
Hi there! :)
<u>Answer:</u>
Jaime has 30 dimes in his pocket.
Step-by-step explanation:
First off, you need to know that:
A <em>quarter</em> is equal to = <u>$0.25</u>
A <em>dime</em> is equal to = $0.10
Jaime has 6 quarters, which means that he has 6 times $0.25:
6 × 0.25 = <u>$1.50</u>
Jaime has a total of $4.50 → Subtract the amout of money represented by the quarters and you'll be left with the amout of money represented by the dimes:
4.50 - 1.50 = <u>$3</u>
Jaime has $3 worth of dimes in his pocket. In order to know how many dimes $3 represents, you'll need to divide "3" by 0.10, which is what 1 dime is worth:
3 ÷ 0.10 = <u>30</u> → YOUR ANSWER
There you go! I really hope this helped, if there's anything just let me know! :)