Answer: 96 m²
Step-by-step explanation: Surface area is the sum of the areas of all of the faces of a 3-dimensional figure.
So to find the surface area of a cube, it's important to understand that each face of a cube has the same area so we can simply find the area of one face of a cube and multiply by the number of faces which is 6.
To find the area of one face of a cube, we can use the formula for the area of a square which is S².
Since the length of a side is 4 meters, we have (4 m)² or 4 meters x 4 meters which is 16 m².
Now, since there are six sides to a cube, we have 6 (16 m)² which is equal to 96 m². So the surface area of the cube is 96 m².
<h3><u>
The value of the number is equal to 16.</u></h3>
7x + 8 = 120
<em><u>Subtract 8 from both sides.</u></em>
7x = 112
<em><u>Divide both sides by 7.</u></em>
x = 16
Answer:
combine like terms and u'll have ur answer
Step-by-step explanation:
So we are trying to find this red line's length.
We can either find it directly, or use the blue line firs, and then use it as a leg for the green triangle.
So the blue leg is a hypotenuse for two of the edges. So:
from the Pythagorean Theorem
OR
Which works out to:
So now that we have that, using the Pythagorean Theorem again gives:
So the length of the red line is found that way.
But wait! There's more!
As it turns out, the red line can be found with an easier way that works with cubes and boxes (cuboids). It's really easy:
Where a, b, and c are all 10m, and d is the red line. This greatly reduces the math:
which gives the same answer as above, which you can see.
Answer:
Step-by-step explanation:
6. Cross-section is a square.
:::::
7. Point and rectangle
:::::
8. line segment and rectangle
:::::
area of hole = π3.5² = 12.25π ≅ 39 ft²