using the net of the prism heat shown what is its surface area for 10,8,7 and 6

Answer 1

To find the surface area of a prism, we need to calculate the area of each face and then add them up.

First, we calculate the area of the rectangular faces using the formula for the area of a rectangle: length x width.

For the triangular faces, we use the formula for the area of a triangle: 1/2 x base x height.

The dimensions of the prism are given as 10, 8, 7, and 6.

Area of the rectangular faces:
- Area of top and bottom faces: 10 x 7 = 70 each
- Area of front and back faces: 10 x 8 = 80 each
- Area of left and right faces: 7 x 8 = 56 each

Total area of rectangular faces = 2(70) + 2(80) + 2(56) = 140 + 160 + 112 = 412

Area of the triangular faces:
- Area of front and back triangular faces: 1/2 x 8 x 7 = 28 each
- Area of left and right triangular faces: 1/2 x 10 x 7 = 35 each
- Area of top and bottom triangular faces: 1/2 x 10 x 8 = 40 each

Total area of triangular faces = 2(28) + 2(35) + 2(40) = 56 + 70 + 80 = 206

Therefore, the total surface area of the prism is:
412 (rectangular faces) + 206 (triangular faces) = 618 units squared.