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:
The waste Suzanne is going to have is around 7.726.
8 if looking for nearest square foot.
Step-by-step explanation:
Area for a square - x*x (length times length)
Area for a circle - r^2*pi
Find the area of the circle first, which plug in r as 3.
3^2*pi
9pi
≈28.27433
Notice for a circle inside a square, the length of the square is the diameter of the circle.
By knowing 2r=diameter, we know the length of the square is 6
substitute x as 6.
6*6=36
Find the waste= Area of square - Area of circle
36-28.27433
≈7.726
The image I attached should give you a clue on how the problem is being done and help you to understand what the 3 feet means.
Answer:
4g-124= -104, g-12= -7
Step-by-step explanation:
g=5
4g-124= ? g-12
4(5)-124 5-12
4(5)= 20 5-12= -7
20 - 124= -104
Answer:

Step-by-step explanation:
<u>Properties of Logarithms</u>
We'll recall below the basic properties of logarithms:

Logarithm of the base:

Product rule:

Division rule:

Power rule:

Change of base:

Simplifying logarithms often requires the application of one or more of the above properties.
Simplify

Factoring
.

Applying the power rule:

Since


Applying the power rule:

Applying the logarithm of the base:

Answer:
32
Step-by-step explanation: