Need with finding the area of this prism

Step-by-step explanation:

Look at the picture.

Use the Pythagorean theorem:

                subtract 9 from both sides

The Surface Area:

we have two congruent right triangles and three rectangles

The area of a right triangle:

The areas of the rectangles:

The Surface Area:

Surface area = 96 cm²

Step-by-step explanation:

From the figure we can see that, a prism

To find the height of triangles

Height²= Hypotenuse² - Base 2 = 5² - 3² = 16

Height = 4

To find the surface area

Surface area = Area of two triangles + Area of 2 side face + Area of base

Area of triangles

Area = bh/2 = (3 * 4)/2 = 6 cm²

Area of 2 triangles = 2 * 6 = 12 cm²

Area of side face

Area first face = 7 * 3 = 21 cm ²

Area of second face  = 7 * 4 = 28 cm ²

Total area of side face = 21 + 28 = 49 cm²

Area of base

Area of base = 7 * 5 = 35 cm²

Total surface area = 12 + 49 + 35  = 96 cm²

step-by-step explanation: it is d