In a right triangular prism, the base is a right-angled triangle with a leg of 8 cm and 6 cm.

| April 5, 2021 | education

In a right triangular prism, the base is a right-angled triangle with a leg of 8 cm and 6 cm. The lateral edge of the techniques is 12 cm. Find the total surface area of the prism.

To solve this problem, let us designate a straight triangular prism as ABCA1B1C1.

For the total surface of the prism, we will use the formula S = P * H + 2s, where H is the height and P is the perimeter of the base, s is the area of the base.
The lateral rib is the height and is equal to 12 cm.
For the perimeter, we find the hypotenuse for m. Pythagoras: 64 + 36 = 100, then hypothesize. = 10
The perimeter is: 6 + 8 + 10 = 24 centimeters.
We find the area of the base through the formula s = AC * BC, s = 48.
Then substituting the obtained values into the formula and we get S = 24 * 12 + 96 = 384 cm2.



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