78.3k views
1 vote
What is the total surface area of this rectangular pyramid?


square meters

What is the total surface area of this rectangular pyramid? square meters-example-1

2 Answers

3 votes

Answer:

The total answer is : 10956 m²

Explanation:

User Peter Van Der Wal
by
7.9k points
4 votes

Answer:

The total surface area = 10956 m²

Explanation:

∵ The pyramid is rectangular pyramid

∴ It has a rectangular base with dimensions of 50 m and 78 m

∴ It has four faces each two opposite are congruent

* to find the total surface area, we will find the area of

each face and add them together

- Area base = L × W

∴ Area base = 50 × 78 = 3900 m² ⇒ (1)

- Area of triangular face of dimensions:

base = 50 m and height = 60 m

∵ Area triangle = 1/2 × base × height

∴ Area triangle = 1/2 × 50 × 60 = 1500 m²

∵ We have another triangle congruent to this triangle (opposite faces)

∴ Area of the two congruent faces = 1500 × 2 = 3000 m² ⇒ (2)

- Area of triangular face of dimensions:

base = 78 m and height = 52 m

∵ Area triangle = 1/2 × base × height

∴ Area triangle = 1/2 × 78 × 52 = 2028 m²

∵ We have another triangle congruent to this triangle (opposite faces)

∴ Area of the two congruent faces = 2028 × 2 = 4056 m² ⇒ (3)

∴ Add (1) , (2) and (3)

∴ The total surface area = 3900 + 3000 + 4056 = 10956 m²

User Jathanasiou
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories