A pail holds 3 1/2 gallons of water. How much is this in cups?
1 answer:
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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:
x = 9
Step-by-step explanation:
This shape is a 30-60-90 triangle, which means that the angles of the triangle are each 30°, 60° and 90°. Given that the measures of the angles of the triangle are known, as well as one side, we can find the measures of all the other sides (example attached). A 30-60-90 triangle is special because of the relationship of its sides. The hypotenuse (directly across from the 90° angle) is equal to twice the length (2x) of the shorter leg, in this case labeled 'x' and directly across from the 30° angle. The longer leg, across from the 60° angle, is equal to multiplying the shorter leg (x) by √3 or x√3.
Since the measure of the hypotenuse is given at 18, we can set the expression of that side equal to 18 and solve for x:
2x = 18 or x = 9
