What is the surface area of the pyramid shown to the nearest whole number? The diagram is not drawn to scale.

pyramid

the height is 7 ft
the area of the base is 4ft by 4ft
(1 point)
Responses

56 ft2
56 ft 2

72 ft2
72 ft 2

22 ft2
22 ft 2

128 ft2

1 answer

The surface area of a pyramid can be calculated using the formula: Area = 1/2 * base perimeter * slant height + base area.

In this case, the base perimeter is 4 ft + 4 ft + 4 ft + 4 ft = 16 ft and the slant height is 7 ft.

Plugging these values into the formula: Area = 1/2 * 16 ft * 7 ft + 4 ft * 4 ft = 56 ft^2 + 16 ft^2 = 72 ft^2.

Therefore, the surface area of the pyramid is 72 ft^2.

The closest answer choice is 72 ft2.