If you want to estimate to the tens, the answer is 680
If you want to estimate to the hundreds, the answer is 700
If you want to estimate to the thousands then the answer would be not an answer
The real answer without estimating is 681
Which ever expression is 3x + 21 + 10 ..... 21 + 10 = 31 .... So it'll be 3x + 31 .
The volume of the original prism is given by:
V1 = (1/2) * (b) * (h) * (H)
Where,
b: base of the triangle
h: height of the triangle
H: prism height
The volume of the prism with new dimensions is:
V2 = (1/2) * (3b) * (3h) * (3H)
Rewriting:
V2 = (3 * 3 * 3) * (1/2) * (b) * (h) * (H)
V2 = (27) * (1/2) * (b) * (h) * (H)
V2 = (27) * V1
Answer:
The relationship between the volumes of the two prisms is:
V2 = (27) * V1
3² equals nine, so the square root of eight has to be less than three.
The square root of eight is 2.82 rounded to the nearest hundredth. So 3 is approximately 0.18 more than the square of eight.
Hope this helps
~DragonGirl :)
