is this correct?
Determine the surface area of the right triangular prism shown below. Round all measurements to one decimal place.
3.0*3.0=9.0*2=18 8.0*3.0=24 3.0*3.0=9
the surface area of this triangular prism equals to 18+24+9= 51
To determine the surface area of a right triangular prism, you need to calculate the areas of each of its faces and then sum them up.
Let's break down the process step by step:
1. Identify the faces of the right triangular prism. In this case, we have two triangular faces and three rectangular faces.
2. Calculate the area of the two triangular faces. The formula for the area of a triangle is (base * height) / 2. In this case, the first triangular face has a base of 3.0 units and a height of 3.0 units, so the area is (3.0 * 3.0) / 2 = 4.5 square units. The second triangular face has the same measurements, resulting in an identical area of 4.5 square units.
3. Calculate the area of the three rectangular faces. The formula for the area of a rectangle is length * width. The first rectangular face has a length of 3.0 units and a width of 8.0 units, so the area is 3.0 * 8.0 = 24.0 square units. The second rectangular face has the same measurements, resulting in an identical area of 24.0 square units. Finally, the third rectangular face has a length of 3.0 units and a width of 3.0 units, so the area is 3.0 * 3.0 = 9.0 square units.
4. Add up the areas of all the faces to find the total surface area. In this case, the total surface area is 4.5 + 4.5 + 24.0 + 24.0 + 9.0 = 66 square units.
Therefore, the correct surface area of the right triangular prism is 66 square units, not 51 square units as stated in the provided calculation.