1. Find the surface area of the square pyramid shown below?
2 answers:
Answer:
1. 40.00 sq units
2. 37.5 sq units
Step-by-step explanation:
1. Given slant height as 3 and the square base side as 4,
-The surface area of a right squared pyramid is calculated by summing the areas of the 4 triangles and the square base:
Hence, the area of the square pyramid is 40.00 sq units
2. The surface area of a cube is equivalent to 6 times the side of one face.
-Given the dimension of the sides as 2.5, surface area is obtained as:
Hence, the surface area of the cube is 37.5 sq units
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Answer:
Step-by-step explanation:
The area of a triangle is given by
where
b is the base
h is the height
Here we have an equilateral triangle, which has the 3 sides of the same length.
Let's call L the length of one side.
We know that the perimeter of the triangle is
p = 9 in
The perimeter is the sum of the three sides, so:
Therefore, we find the length of the side:
Therefore the length is the base of the triangle,
The height can be calculated by considering half triangle: the hypothenuse is equal to L, while one side is equal to half the base (b/2), therefore the height is given by Pythagorean's theorem:
Therefore, the area of the triangle is: