Question

The lateral surface area of the right triangular pyramid with the length of the edge 3 cm is:
plz find out the ans,,​

Answer 1

Answer:

The lateral surface area of the right triangular pyramid with the length of the edge 3 cm is  (9√3)/2 cm³

Step-by-step explanation:

given that:

The lateral surface area of the right triangular pyramid with the length of the edge 3 cm is  ... ?

we have to find its lateral surface area

length of edge of the right triangular pyramid is 3 cm

formula for lateral surface area of  a right triangular pyramid is $(\sqrt{3} /2)(a^{2} )$

where a = edge of right triangular pyramid.

substitute value of a=3 in lateral surface area formula.

$(\sqrt{3} /2)(a^{2} )$ = $(\sqrt{3}/2)(3^{2})$

= $(\sqrt{3} /2)(9)$

The lateral surface area of the right triangular pyramid with the length of the edge 3 cm is  (9√3)/2 cm³

Answer 2

We need to find the lateral surface area of the right triangular pyramid with the length of the edge 3cm.

Lateral surface area:

Area of a geometrical figure excluding its base and top is known as lateral surface area.

Right triangular pyramid:

A triangular pyramid contains a triangular base and 3 triangular faces. In Right triangular pyramid the base triangle is right angled triangle.

Lateral surface area of right triangular pyramid is

$( \sqrt{3} \div 2) {a}^{2}$

Where a is the length of the edge.

Given a is

$a = 3cm$

Substituting the value of a in the formula we get,

$lateral \: surface \: area = ( \sqrt{3} \div 2) \times {3}^{2} \\ = 9 \sqrt{3} \div 2$

Therefore, lateral surface area of right triangular pyramid with edge length 3 is

$(9 \sqrt{3}) \div 2 {cm}^{3}$

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