Question

Please answer thank you​

Answer 1

1536 m²

Explanation:

To find the area of the lateral faces, calculate the height of a lateral face first.

The height of a lateral face = S

The blue triangle is right-angled, so we can use Pythagoras Theorem to find S.

`\sqrt{ {h}^(2) + {0.5b}^(2) }`

`= \sqrt{ {16}^(2) + {12}^(2) }`

`= √(400)`

= 20 m

Total surface area of a pyramid

= total surface area of lateral faces + base area

Area of 1 lateral face

= (base × height) ÷ 2

= (24×20)÷2

= 240 m²

Total surface area of the pyramid

= 240×4 + 24×24

= 1536 m²