The volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.
<h3>
What is a cube?</h3>
- A cube is a three-dimensional solid object with six square faces, facets, or sides, three of which meet at each vertex.
- The cube is one of the five Platonic solids and the only regular hexahedron.
- It has six faces, twelve edges, and eight vertices.
To find the volume of the cube that perfectly fits an 18 ft³ pyramid:
We have been provided that:
- 18 cubic feet is the volume of the pyramid.
- Now, in order for this pyramid to fit exactly into a cube, the base of the pyramid must be square, and the height of the pyramid must be equal to the height of the cube.
- We can conclude from this that the volume of a cube equals three times the volume of a pyramid.
- So, the volume of the cube = 3 × 18
- The volume of Cube = 54 ft³
Therefore, the volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.
Know more about a cube here:
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The correct question is given below:
The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube?
(A) 6 cubic feet
(B) 18 cubic feet
(C) 54 cubic feet
(D) 72 cubic feet
Answer:
7.814 * 10^6
Step-by-step explanation:
Move the decimal point (which is at the end of the number) six places to the left so that you have one non-zero digit to the left of the decimal point. The number of places it is moved to the left is the exponent. Since it is moved to the left it is a positive exponent.
Step-by-step explanation:
from,
An = 4n -13
A1 = 4 (1) - 13
> A1 = -9
A2 = 4(2) - 13
> A2 = -5
A3 = 4(3) - 13
> A3 = -1
A4 = 4(4) - 13
> A4 = 3
Answer:
Step-by-step explanation:
When working with surds we need to take note of the roots present there.
To expand this equation we can do it the following way noting that √3 X √3 = 3
<em></em>
<em>Expanding (1-√3)(⅓+√3)</em>
1 X 1/3 = 1/3
1 X √3 = √3
-√3 X 1/3 =-√3/3
√3 X √3 = 3
hence, expanding the equation, we have
1/3 + √3 -√3/3 + 3
We can simply group the like terms and add them up.
[1/3 +3] +[√3-√3/3]
10/3 + 
=
