Answer:
<h2>The area of the base is 144 square inches.</h2><h2>The area of each triangular face is 66 square inches.</h2><h2>Grabiel needs 408 square inches of paint.</h2>
Step-by-step explanation:
The complete problem is attached.
Notice that the figure is a square pyramid, where its base dimensions are 12 inches by 12 inches, which represents an area of

The slant height of the pyramid is 11 inches, which allow us to find the area of each triangle face

But there are four triangle faces, so
.
Therefore, the area of each triangular face is 66 square inches.
So, the total surface area would be the sum

Therefore, Gabriel needs 408 square inches to paint the whole model.
Answer:
D
Step-by-step explanation:
360h+6,400 >8,020, with a solution is h> 4.
Answer:
z = 8/3
Step-by-step explanation:
10- 3/4z = 8
Subtract 10 from each side
10-10- 3/4z = 8-10
-3/4z = -2
Multiply each side by -4/3
-3/4z * -4/3 = -2 *4/3
z = 8/3
5/2 is already in its simplest form. You cannot reduce this fraction any further.
Volume of the cone = 1/3 pi r^2 h = 1005.31 cm^3
Volume of the sphere = 4/3 pi r^3 = 463.25 cm^3
Volume of remaining portion of the cone = 1005.31 - 463.25
= 542.1 cm^3 to nearest tenth