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Answer :
Answer: The correct answer is 1176
Step-by-step explanation:
Because if you divied then add the divide again you get the answer your welcom
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The area of tiles taken to cover the pedestal, including the bottom is 1176 cm².
What is the Total Surface Area of a Triangular Prism?
A triangular prism's surface area is also referred to as its total surface area. A triangular prism's total surface area is the sum of the areas of all its faces. A triangular prism consists of two triangular faces and three rectangular faces.
Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 +S2 + S3)L + bh
where,
b is the base triangle's bottom edge, h is its height, L is its length, and S1, S2, and S3 are the three edges (sides) of the base triangle (bh).
[2 (1/2 bh)] = bh is the area of the two triangular faces
Given:
From the figure, we can say that the pedestal is in form of a triangular prism.
To find the area of the tile that it takes to cover the pedestal, including the bottom we have to determine the surface area of the pedestal.
So from the figure,
The side lengths of the triangular base are:
S1 = S2 = 10 cm
S3 = 16 cm
Base of prism = 16 cm
Height of prism = 6 cm
Length of prism = 30 cm
Surface area = (S1 +S2 + S3)L + bh
= (10+10+16)30 + 16×6
= 1176 cm²
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