If P <span>is the midpoint of DE then
DE = 2(DP)
10x - 12 = 2(3x + 2)
10x - 12 = 6x + 4
10x - 6x = 4 + 12
4x = 16
x = 16/4
x = 4
DP = 3x + 2 = 3 * 4 + 2 = 12 + 2 = 14 units</span>
Answer:
Number one the base is 24 and the Volume is 120
Number two the base is also 24 and the Volume is 240.
Step-by-step explanation:
For #1:
For the first one the area of the base is 8x3 which equals 24 so for base Number 1 its 24.
All we got to do to figure out the volume is multiply by 10 *the height* and then divide by 2 because we are finding the volume of a pyramid. 24x10 = 240/2 = 120. So the volume for Number 1 is 120.
For #2:
It has the exact same number except we are dealing with a rectangular prism which means at the end we don't have to divide by 2. For the base its 8 x 3 = 24 the same as the pyramid. For the volume- 8 x 3 = 24 x 10 = 240 which means the volume is 240. And of course don't forget the unit yards³
Hope I was able to help!
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