Formula for Surface Area Math

Introduction for formula for surface area math:

In math, surface area in a solid, is the sum of the surface areas of all its faces including  the base of the solid. Or surface area means the area of the sides including the top and bottom. Lateral surface area is found for any math geometric figures, around its outer area. Surface area is usually measured in terms of some square units. Let us see surface area formulas and problems in math. I like to share this Find the Surface Area of a Cone with you all through my article.

Formula for Surface Area Math:

Math lateral surface area formulas:

•    Cube = 6a2, where a is the length of a side.

•    Sphere = 4pr2, r is the radius of the sphere.

•    Cone = p rs, where r and s are the radius and slant height of the cone

•    Cylinder = 2pr(r+h), where r is the radius and h is the height of the cylinder

•    Rectangular prism = 2LW+ 2LH +2WH

•    Triangular prism = base area + perimeter × height

•    Pentagonal prism = 5 × area of each rectangle

Examples for lateral surface area in math problems:

Example 1:

Find the surface area of a cube whose side is 7cm

Solution:

Given: side = 7cm

Formula:   Cube = 6a2

= 6(7)2

= 6(49)

= 294cm2

Example 2:

Find the lateral surface area of a pentagonal prism, if a = 5 cm and b = 14 cm.

Solution:

Step 1: In the given figure, the base of the prism is a regular pentagon.

Step 2: All five rectangles of a regular pentagon are congruent.

Step 3: Lateral surface area of the prism = 5 × area of each rectangle

Step 4: = 5 × 5 × 14 [Substitute the values.]

Step 5: = 350

So, Lateral surface area of the pentagonal prism = 350 cm2.

Example Formula for Surface Area Math:

Example 1:

Height and radius of the cone is 5ft and 7ft. Find the surface area of the given cone.

Solution: Lateral surface area of the cone = prs

Step 1:Slant height of the cone, s =v(25+49) [s =vr2+h2.]

s = 8.6ft

Step 2: Lateral surface area = 3.14×7×8.6 [ r = 7 and s = 8.6]

=189.03

So, the lateral surface area of the cone = 189.03square ft.

Example 2:

Find the surface area of a sphere its radius 6cm.

Solution:

Given: radius = 6cm

Formula surface area of a sphere = 4pr2

= 4×3.14× 6× 6

= 200.96

Therefore surface area of sphere = 200.96cm2


Understanding use the quadratic formula to solve the equation is always challenging for me but thanks to all math help websites to help me out.

Math practice problem for surface area formula:

1) Find the lateral surface area for of a sphere radius (r) = 3cm ?

2) Find the surface area of a cube side is 9ft?

Answer:

1)113.04cm2

2) 486square ft.