The volume of the new prism is 6,720 m³ !
Here's how it works:
The volume of any rectangular prism is (length x width x height).
If you double each dimension, then the new volume is
(2 x length) x (2 x width) x (2 x height) = 8 x (length x width x height) .
That's 8 times the original volume.
Where did the ' 8 ' come from ?
It's the <u>cube of 2</u> .
In this problem, we multiplied each dimension by 4, so the new volume is
(4 x length) x (4 x width) x (4 x height) = 64 x (length x width x height) .
That's 64 times the original volume.
Where did the ' 64 ' come from ?
It's the <u>cube of 4</u> .
We didn't really have to figure it out. We knew that if you multiply each dimension
by the same number, then you multiply the volume by the cube of that number.
That's a good thing to remember.
The original volume was 105 m³ .
The new volume is (4³) x (105) = (64) x (105) = 6,720 m³
Answer:
The sum of the angles in a triangle is 180°, so the angles do form a triangle. Since two of the three angles are congruent, the triangle is an isosceles triangle. An infinite number of isosceles triangles exist with different side lengths. Therefore, more than one triangle exists with the given angle measures.
Answer:
<h2>80 feet</h2>
Step-by-step explanation:
6:10 ratio
6x8=48 10x8=80
(-2)³ = -8
-4⁴ = 256
![\frac{5}{6}^3](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B6%7D%5E3%20)
= 125/216
![4^-^3](https://tex.z-dn.net/?f=4%5E-%5E3)
= 1/4³ = 1/64 (every number with negative exponent is equivalent to the opposite of the number itself)
2-(-3)² = 2-(+9) = 2-9 = -7
-(-7)⁰ = -1 (every number elevated to 0 is 1)
1-3⁻¹ = 1-1/3 = 2/3
Answer:
(x-2)^2+(y-1)^2=13
Step-by-step explanation:
Center of the circle: (2,1)
Radius: sqrt(13)
(x-2)^2+(y-1)^2=13