Question

The base of a triangular prism is 8 cm. The width of one of the rectangles is 10 cm. The prism length is x. The height of the base of the triangular prism is 6 cm. The surface area of the triangular is 524 square centimeters. What is the missing prism length?

Answer 1

The surface area of a triangular prism can be calculated using the formula:

Surface Area = 2*(base area) + (perimeter of base)*(height)

Since the base of the triangular prism is a triangle with a base of 8 cm and height of 6 cm, the base area can be calculated as:

Base area = 0.5 * (base) * height = 0.5 * 8 * 6 = 24 square cm

The perimeter of the base can be calculated as the sum of the three sides of the triangle, which is 8 + 10 + 10 = 28 cm.

Now we can plug in the values into the surface area formula:

524 = 2*24 + 28*x
524 = 48 + 28x
476 = 28x
x = 17 cm

Therefore, the missing prism length is 17 cm.

Answer 2

U sure