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:
brainly.com/question/1972490
#SPJ4
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
The slope-intercept of a line is expressed as y=mx + b where m is the slope which is equal to change in y over change in x and b is the y-intercept. We can obtain this form from two points by doing as follows:
y - y1 = m(x-x1)
y + 3 = (1 + 3) / (4-0) (x - 0)
y + 3 = x
y = x -3
where m is 1 and b is -3
Answer:
CD is 6 cm and DE is 4 cm.
Step-by-step explanation:
Well it‘s the correct answer and I got it right so good luck out there bois!
Answer:
a) w = 8; y = 5.25
b) x = 10; z = 7.2
Step-by-step explanation:
a) Dimensions on the smaller figure are FA/F'A' = 3/4 times those on the larger figure.
6 = (3/4)w
w = 24/3 = 8
y = (3/4)·7 = 21/4 = 5.25
__
b) Dimensions on the smaller figure are ER/E'R' = 9/15 = 3/5 times those on the larger figure.
6 = (3/5)x
x = 30/3 = 10
z = (3/5)12 = 36/5 = 7.2
