A container is shaped like a triangular prism. Each base of the container is anequilateral triangle with the dimension shown. The container has a height of 15 centimeters. What is the lateral surface area of the container in square centimeters?

The lateral surface area Al of the triangular prism is 270cm^2

Step-by-step explanation:

An equilateral triangle has all 3 sides equal = 6 cm each

The height of the container is 15cm

Lateral surface area,Al =(a + b + c)h

Al= (6+6+6)15

Al= (18)15 = 270cm^2

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

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