The formula for the surface area of ​​a block and how to calculate it

Block Surface Area Formula The surface area of ​​the beam is the total area of ​​the surface or side plane of the beam. The beam has six sides, namely the top side, bottom side, right side, left side, front side and back side. If we draw the sides of the beam horizontally it will form a grid of beams. Now, the area of ​​the nets of the beams is called the surface area of ​​the beam.

The surface area of ​​a cuboid is the total area of ​​the surface or side plane on the beam. The formula for the surface area of ​​a beam and how to calculate it

Material basic math formula this time I will invite you to help learn and understand the formula for calculating the surface area of ​​a space called a block. Read the material below with full concentration, yes!

Explanation of Block Surface Area Formula

We can find the surface area of ​​the cuboid by using the formula:

Surface area of ​​the block = 2 (length x width) + 2 (length x height) + 2 (width x height)
Surface area of ​​the block = 2 pl + 2 pt + 2 lt
Surface area of ​​the block = 2 (pl + pt + lt)

Also read: Formulas for Finding the Area of ​​a Cone Blanket and Examples of Problems

Check out how to use the formula in some of the questions below:

Example Question 1

A block has a length of 20 cm, a width of 14 cm and a height of 10 cm. what is the surface area of ​​the block?

Solution:
is known:
p = 20
l = 14
t = 10

Block Surface Area = 2 (pl+pt+lt)
= 2 x (20×14) + (20×10) + (14 x 10)
= 2 x (280 + 200 + 140)
= 2 x 620
= 1240 cm2

then the surface area of ​​the block is 1240 cm2

Example Question 2

If a block has a volume of 480 cm3 with the length and width of the sides 10 cm and 8 cm, respectively. So what is the height of the block? And what is the total surface area?

Solution:
Is known:
Volume = 480 cm3
P = 10
L = 8

To find the height of the block, let’s use the formula for the volume of the block:

V . beam = pxlxt
480 cm³= 10 x 8 xt
480 cm³= 80 t
t = 480 : 80
t = 6 cm
So the height of the block is 6 cm.

after knowing the height of the block, then we can find the surface area:
Surface area of ​​the block = 2 (pl + pt + lt)
= 2 (10 x 8 + 10 x 6 + 8 x 6)
= 2 (80 + 60 + 48)
= 2 x 188
= 376 cm²
then the surface area of ​​the block is 376 cm2

Example questions 3

If the surface area of ​​a cuboid is 202 cm3 Find the width of the block if its length is 5 cm and its height is 2 cm.

Solution:
Surface Area = 2 (5l + (5×2) + (2l)
202 cm3 = 2 (10 + 7l)
202 cm3 = 20 + 14l
202-20 = 14l
182 = 14l
l = 182/14
l = 13cm
then the width of the block is 13cm

How? Do you understand about The formula for the surface area of ​​a block and how to calculate it. If there is something you don’t understand, please ask questions in the comments section below. Or maybe you can ask your teacher at school. Also check out my article about How to Calculate the Volume Formula for Cubes and Blocks