Here are the best information about how do you find surface area voted by users and compiled by us, invite you to learn together
Let’s learn how to determine the surface area of a cube.
Table of Contents
What is a Cube?
The only regular hexahedron, a cube is a three-dimensional object with six equal-sized square surfaces or sides, 12 edges, and 8 vertices. Given that its square sides are equal, it follows that a cube’s length, width, and height are equal, too. Examples of cube-shaped objects are dice, jewelry boxes, ice cubes, sugar cubes, and Rubik’s cubes.
Here’s an illustration of a cube. Notice how it forms 6 equal square surfaces or sides when unfolded. The resulting two-dimensional shape when a cube is unfolded is called the cube’s net.
How to Find the Surface Area of a Cube:
Recall that the surface area of a three-dimensional figure refers to the total area occupied by the figure’s surface. To better understand surface area, look at the net or the flat layout of the cube in the illustration below.
The surface area of a cube is the sum of all the areas of its 6 square sides. Recall that the area of a square is computed by multiplying the length of each side (a) by itself:a • a or a². Just multiply the area of a square side by 6 and you’ll have the cube’s surface area.
Use this formula to find the total surface area of a cube: SA = 6a²where a = length of the cube’s one side and a² = area of one square side of the cube.
Note: Don’t forget that surface areas are measured in square units such as cm2, m2, km2, and in2.
Quick Guide to Finding the Surface Area of a Cube:
Step 1. Write the given figures. You’ll need the length of the cube’s side to find the surface area. Make sure all measurement units are the same. If not, convert either of them to match the other.
Step 2. Plug the figures into the formula.
Step 3. Perform the operations. Don’t forget to write the square unit for surface area.
Example #1:
Find the surface area of the cube below.
Solution for Example #1:
Step 1. Write the given measurement, a = 8m.Step 2. Substitute 8m for a in the formula for the surface area.SA = 6a²SA = 6(8m)²Step 3. Simplify & solve the equation.SA = 6(64m²)SA = 384m²
Therefore, the surface area is 384m².
Want to learn how to find the volume of this cube?Related Reading: Volume of a Cube – Formula & Examples
Example #2:
Find the surface area of a cube with a length of 4m.
Step 1. Write the given measurement, a = 4m.Step 2. Substitute 4m for a in the formula for the surface area.SA = 6a²SA = 6(4m)²Step 3. Simplify & solve the equation.SA = 6(16m²)SA = 96m²
Therefore, the surface area is 96m².
Thank you for reading. We hope it’s effective! Always feel free to revisit this page if you ever have any questions about the surface area of a cube.
Check out some of our other blog posts or invest in your future with one of our self-study courses!
Top 18 how do you find surface area edit by Top Q&A
Surface Area to Volume Ratio
- Author: studysmarter.us
- Published Date: 02/11/2022
- Review: 4.82 (970 vote)
- Summary: Surface Area to Volume Ratio: ✓ Importance ✓ Size ✓ Relationship ✓ How to calculate| StudySmarter Original.
How to Find Surface Area – Kids Math – Ducksters
- Author: ducksters.com
- Published Date: 07/14/2022
- Review: 4.73 (313 vote)
- Summary: The surface area is the total exposed area inside a given boundary. We write area in units squared. Here is an example of surface area using a square: This …
Surface Area – MATHguide.com
- Author: mathguide.com
- Published Date: 11/23/2022
- Review: 4.46 (502 vote)
- Summary: We saw the area of a figure was nothing more than the sum of all unit squares of a figure. For the surface area of a solid, there is a similar definition, but …
Part 5: Surface Area | The Beginner’s Guide to Year 9 Maths
- Author: matrix.edu.au
- Published Date: 06/07/2022
- Review: 4.1 (523 vote)
- Summary: How do you find the surface area of a pyramid? … Stage 5.3: Solve problems involving the surface areas of right pyramids, right cones, spheres and related …
- Matching search results: Area of base: (SA_{text{base}}=2×4=8) Slant heights: (l_1=sqrt{5^{2}+2^{2}}=sqrt{29}) , (l_2=sqrt{5^{2}+1^{2}}=sqrt{26}) Area of triangles: (SA_1=frac{1}{2} (4) l_1\ =2sqrt{29}) , (SA_2=frac{1}{2} (2) l_2=sqrt{26}) …
Top 10+ how to cite a website mla format
Surface Area of a Cylinder
- Author: varsitytutors.com
- Published Date: 04/01/2022
- Review: 3.82 (304 vote)
- Summary: Since a cylinder is closely related to a prism, the formulas for their surface areas are related.
- Matching search results: Area of base: (SA_{text{base}}=2×4=8) Slant heights: (l_1=sqrt{5^{2}+2^{2}}=sqrt{29}) , (l_2=sqrt{5^{2}+1^{2}}=sqrt{26}) Area of triangles: (SA_1=frac{1}{2} (4) l_1\ =2sqrt{29}) , (SA_2=frac{1}{2} (2) l_2=sqrt{26}) …
Calculus II – Surface Area – Pauls Online Math Notes
- Author: tutorial.math.lamar.edu
- Published Date: 04/18/2022
- Review: 3.78 (475 vote)
- Summary: In this section we’ll determine the surface area of a solid of revolution, i.e. a solid obtained by rotating a region bounded by two curves …
- Matching search results: We can derive a formula for the surface area much as we derived the formula for arc length. We’ll start by dividing the interval into (n) equal subintervals of width (Delta x). On each subinterval we will approximate the function with a …
Surface Area to Volume Ratio Calculator
- Author: omnicalculator.com
- Published Date: 08/13/2022
- Review: 3.56 (287 vote)
- Summary: Surface area to volume ratio calculator helps you determine the amount of surface an object has relative to its size.
- Matching search results: We can derive a formula for the surface area much as we derived the formula for arc length. We’ll start by dividing the interval into (n) equal subintervals of width (Delta x). On each subinterval we will approximate the function with a …
Surface area – Deutsch-Übersetzung – Linguee Wörterbuch
- Author: linguee.de
- Published Date: 04/13/2022
- Review: 3.24 (257 vote)
- Summary: specific geometrical surface area (GSA) of the honeycomb body, and which are separated at least partly from one another by separating walls (3), …
- Matching search results: We can derive a formula for the surface area much as we derived the formula for arc length. We’ll start by dividing the interval into (n) equal subintervals of width (Delta x). On each subinterval we will approximate the function with a …
Top 8 how to avoid paying taxes
Surface Area Calculator
- Author: calculatorsoup.com
- Published Date: 02/25/2022
- Review: 3.1 (221 vote)
- Summary: Circular Cone Surface Area · Volume = (1/3)πr2h · Lateral Surface Area = πrs = πr√(r2 + h2) · Base Surface Area = πr · Total Surface Area = L + B = πrs + πr2 = πr( …
- Matching search results: We can derive a formula for the surface area much as we derived the formula for arc length. We’ll start by dividing the interval into (n) equal subintervals of width (Delta x). On each subinterval we will approximate the function with a …
What is Surface Area? – Definition & Formulas – Study.com
- Author: study.com
- Published Date: 05/27/2022
- Review: 2.99 (106 vote)
- Summary: Surface area is the sum of all the surfaces on each side of a three-dimensional shape. Explore the definition, formulas, and examples of …
- Matching search results: We can derive a formula for the surface area much as we derived the formula for arc length. We’ll start by dividing the interval into (n) equal subintervals of width (Delta x). On each subinterval we will approximate the function with a …
Surface Area of a Cone – Web Formulas
- Author: web-formulas.com
- Published Date: 01/29/2022
- Review: 2.87 (141 vote)
- Summary: The first step in finding the surface area of a cone is to measure the radius of the circle part of the cone. The next step is to find the area of the …
- Matching search results: We can derive a formula for the surface area much as we derived the formula for arc length. We’ll start by dividing the interval into (n) equal subintervals of width (Delta x). On each subinterval we will approximate the function with a …
What is surface area? – IXL
- Author: ixl.com
- Published Date: 02/23/2022
- Review: 2.67 (138 vote)
- Summary: Surface area is the total area of the faces of a three-dimensional shape. Surface area is measured in square units. To calculate surface area of a three- …
- Matching search results: We can derive a formula for the surface area much as we derived the formula for arc length. We’ll start by dividing the interval into (n) equal subintervals of width (Delta x). On each subinterval we will approximate the function with a …
Surface Areas and Volume – Definition, Formulas and Examples
- Author: byjus.com
- Published Date: 10/17/2022
- Review: 2.66 (119 vote)
- Summary: Surface Area of a Cylinder:
Surface Area Of A Cone:
Surface Area of a Sphere:
Surface Area of Cuboid: - Matching search results: The amount of space, measured in cubic units, that an object or substance occupies is called volume. Two-dimensional doesn’t have volume but has area only. For example, the Volume of the Circle cannot be found, though the Volume of the sphere can …
Surface area of a box (cuboid)
- Author: khanacademy.org
- Published Date: 09/14/2022
- Review: 2.43 (75 vote)
- Summary: Surface area is total area on the surface of a three-dimensional shape. To find the surface area …
Dauer:
Gepostet: - Matching search results: The amount of space, measured in cubic units, that an object or substance occupies is called volume. Two-dimensional doesn’t have volume but has area only. For example, the Volume of the Circle cannot be found, though the Volume of the sphere can …
Surface Area – Formula, Meaning, Examples – Cuemath
- Author: cuemath.com
- Published Date: 02/23/2022
- Review: 2.42 (68 vote)
- Summary: The surface area of a three-dimensional object is the total area of all its faces. In real-life we use the concept of surface areas of different objects …
- Matching search results: There is a different surface area formula for every geometrical shape, but the idea behind all is to get the total area occupied by all the faces of the objects. In this section, we will learn about the various formulas used to calculate the surface …
Surface Area Definition (Illustrated Mathematics Dictionary)
- Author: mathsisfun.com
- Published Date: 05/28/2022
- Review: 2.32 (52 vote)
- Summary: Illustrated definition of Surface Area: The total area of the surface of a three-dimensional object. Example: the surface area of a cube is the area…
- Matching search results: There is a different surface area formula for every geometrical shape, but the idea behind all is to get the total area occupied by all the faces of the objects. In this section, we will learn about the various formulas used to calculate the surface …
What is Surface Area? — Definition, Formulas & Examples
- Author: tutors.com
- Published Date: 01/07/2022
- Review: 2.14 (134 vote)
- Summary: Surface area of three-dimensional solids refers to the measured area, in square units, of all the surfaces of objects like cubes, spheres, …
- Matching search results: We would use height to describe a skyscraper, but we probably would use depth to describe a hole in the ground. Three-dimensional solids include everyday objects like people, pets, houses, vehicles, cubes, cereal boxes, donuts, planets, shoe boxes, …
Surface Area Formulas – Math.com
- Author: math.com
- Published Date: 09/24/2022
- Review: 2.17 (188 vote)
- Summary: In general, the surface area is the sum of all the areas of all the shapes that cover the surface of the object. Cube | Rectangular Prism | Prism | Sphere | …
- Matching search results: We would use height to describe a skyscraper, but we probably would use depth to describe a hole in the ground. Three-dimensional solids include everyday objects like people, pets, houses, vehicles, cubes, cereal boxes, donuts, planets, shoe boxes, …
