Question

This figure is a tetrahedron. What is its surface area?

124.8 square units
36 square units
22.4 square units
62.4 square units

Answer 1

D

Explanation:

Answer 2

Surface area of Tetrahedron is 62.4 square units.

Note:(This is for only one surface of Tetrahedron)

Explanation:

Given :

The shape is Tetrahedron.

length of Base = 12 unit.

length of Height = 10.4 unit

To Find :

Surface area of Tetrahedron = ?

Solution:

Tetrahedron:

It is a polyhedron composed of

4 Triangular faces, ( four triangular surface)

6 Straight edges, and

4 Vertex corners.

Base Shape: Triangle

Side Shape: Triangle

We need to find surface area of Tetrahedron

`\textrm{one surface area of a Tetrahedron} = \textrm{area of triangle}=(1)/(2)* Base* Height\\ =(1)/(2)* 12* 10.4\\=6* 10.4\\=62.4\ unit^(2)`

Therefore, one side surface area of Tetrahedron is 62.4 square units.

If we required total surface area of the Tetrahedron then it will be multiplied by four, because it has 4 surface or 4 face.

Total surface area of Tetrahedron = 4 × 62.4

= 249.6 square units