Surface Area of ​​a Cube

Introduction

A. Basic Competencies

4. Distinguish and determine area surface and volume of flat sided figures (cube, cuboid, prism and pyramid).4.9 Solve problems related to surface area and volume of a flat-sided figure (cube, cuboid, prism and pyramid), as well as combinations thereof.

B. Learning Objectives

After Studying the surface area of a cube material, students are expected to be able to:1. Can find and determine the surface area of a cube.

2. Got it solve problems related to the surface area of a cube.

C. Material

Look at the following picture! The figure shows a cube ABCD.EFGH with edge length $s$. If we slice the cube according to its edges, it will become cube nets. One of the cube nets looks like the picture following. The cube net consists of six congruent squares with edge size $s$. The surface area of a cube is the sixth sum of areas square on a cube mesh. Then the total surface area of ​​the cube is = Area $ABFE$+ Area $ABCD$+ Area $ADHE$+ Area $CDHG$+ Area $BCGF$+ Area $EFGH$$\begin {aligned}&=(s\times s)+(s\times s)+(s\times s)+(s\times s)+(s\times s)+(s\times s)\\&=(s^{2})+(s^{2})+(s^{2})+(s^{2})+(s^{2})+(s^{2})\\&=6\times s^{2}\\&=6s^{2}\end{aligned}$Problems example: It is known that the edge length of a cube is 4 cm. Calculate the surface area of the cube that. Solution: $\begin {aligned} &L=6s^{2}\\&L=6\times 4^{2}\\&L=6\times 16\\&L=96 \end{aligned}$ So, the surface area of ​​the cube is $96 cm^2$Cube Surface Area Simulation To better understand the surface area of a cube, please carry out the following simulation by moving the slider to the right or left.

D. Evaluation

To better understand the surface area of a cube, please do an evaluation next!

1. Calculate the surface area of ​​a cube with an edge length of 12 cm.
2. It is known that the total length of the edges of a cube is 108 cm. Determine the area the surface of the cube.
3. It is known that the surface area of ​​a cube is 726 $\text{cm}^2$. Determine the length of the rib the cube.
4. Satrio will make 10 identical cube frames using wire. If the edge length of the cube is 12 cm, what is the minimum wire length required? That’s the material about the surface area of ​​a cube. I hope this is helpful. love.😊🙏