Question

What is the surface area of the rectangular pyramid below?

(Image)

A. 386.9 ft2
B. 593.8 ft2
C. 639.4 ft2
D. 1,053.2 ft2

Answer 1

it is B

Explanation:

Answer 2

The correct option is B.

Explanation:

The area of pyramid is the sum of area of rectangular base and 4 triangular sides. Two triangle have base 18 ft and height 14.1 ft. Other two have base 10 ft and height 16 ft.

The area of rectangle is

`A=length* width`

Length of the base is 18ft and width is 10ft.

`A_1=18* 10=180`

The area of a triangle is

`A=(1)/(2)* base * height`

The area of triangle with base 18 ft and height 14.1 ft is

`A_2=(1)/(2)* 18 * 14.1=126.9`

The area of triangle with base 10 ft and height 16 ft is

`A_3=(1)/(2)* 10 * 16=80`

The total surface area of the rectangular pyramid is

`A=A_1+2* A_2+2* A_3`

`A=180+2* (126.9)+2* (80)`

`A=593.8`

The surface area of the rectangular pyramid is 593.8 ft². Therefore the correct option is B.