Answer:
184.43in².
Step-by-step explanation:
Total surface area of the solid = volume of the cube - the volume of the cone
For the CUBE;
Volume of the cube = L³ where L is the length of one side of the cube.
Since a cone of diameter of 6in is cut into a cube, then the length of the cube will be 6in.
Volume of the cube = 6³ = 216in³
For the CONE;
Volume of the cone = 1/3 πr²h
r is the radius of the cone = diameter/2
r = 6/2 = 3in
slant height l = 4.5in
the height h of the cone will be derived using the Pythagoras theorem.
l² = h²+r²
4.5² = h²+3²
h² = 4.5²-3²
h² = 11.25
h=√11.25
h = 3.35in
Volume of the cone = 1/3 × π × 3²× 3.35
= 31.57in³
Total surface area of the solid = 216in³-31.57in³
= 184.43in²
Sorry it’s blurry, I would help! Have a good day! ☺️
2(3x)=1(4x-1)
6x=4x-1
Subtract 4x from each side
2x=-1
Divide each side to get x=-1/2
Your answer would be -1/2
The length of one side of the square base is 8.5 centimeters.
<u>Given the following data:</u>
- Volume of cuboid = 867 cm
To find the length of one side of the square base:
Mathematically, the volume of a cuboid is given by the formula:
× 
Substituting the given values, we have:
× 
Base area = 72.225 
Now, we can find the length by using the formula:
<em>Length</em><em> = </em><em>8.5 centimeters</em>.
Therefore, the length of one side of the square base is 8.5 centimeters.
Find more information: brainly.com/question/11037225
