Respuesta :

short answer = A

calculations:
√6²+8² = 10

(6x8/2)2 + 6x19 + 8/19 + 10x19
=504

The area of the right prism is 504 sq.units, the correct option is A.

What is Surface Area?

The area covered by all the surfaces of a three dimensional figure is called the surface area of any object.

The figure shows a right prism

To determine the surface area, the area of the lateral surface and the base has to be calculated.

Area of the prism =  Area of Rectangle ( 6 *19) + Area of Rectangle (8*19) +2 * Area of the Triangle (6*8) + Area of the rectangle at the top surface

For determining the side length of the top surface

Pythagoras theorem is applied

8² +6² =  Side²

Side = 10 unit

Area of the right prism = 6 *9 + 8*19 +2 * (1/2) * 6 *8 + 10 *19

Area of the right prism = 504 sq.units.

To know more about Surface Area

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