SaiBook.us SAT-3

Lesson Example Discussion Quiz: Class Homework

Example

Title: Geometry

Grade: Best-SAT3 Lesson: S3-P2

Explanation: The best way to understand SAT-3 is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

What’s the area of a 3D shape with a side length of 6 m, height of 6 m, the radius is 4 m, and width of 5 m? Use value π is 3.14.

Step 1a

The first 3D shape is a cube.

First, calculate the area of a cube using the formula: A = \$6a^2\$ = \$216m^2\$.

Explanation: In this step, the initial 3D shape is a cube. First, calculate the area of the cube using the formula:

A = \$6a^2\$ = \$216 m^2\$.

Step 1b

The next 3D shape is cuboid.

To calculate the surface area of a cuboid, use the formula: 2(lw + lh + wh) where \$192 m²\$ represents the total area.

Explanation: In this step, calculate the surface area of a cuboid, use the formula: 2(lw + lh + wh),

where 'l', 'w', and 'h' represent the length, width, and height, respectively, then the total area is 192 m².

Step 1c

The next 3D shape is cone.

To calculate the surface area of a cuboid, use the formula: 2πr(h +r) where \$251.2 m²\$ represents the total area.

Explanation: In this step, calculate the surface area of a cone, use the formula: 2πr(h +r)

where 'r', and 'h' represent the radius, and height, respectively, then the total area is 215.2 m².

What’s the volume of a 3D shape with a side length of 5m, height of 6m, the radius is 3m, and width of 7m? Use value π is 3.14.

Step 2a

The first 3D shape is a sphere.

First, calculate the area of a sphere using the formula: A = \$4/3 πr^3\$ = \$113.04(m)^3\$.

Explanation: In this step, the initial 3D shape is a sphere. First, calculate the area of the cube using the formula:

A = \$4/3 πr^3\$ = \$113.04(m)^3\$.

Step 2b

The next 3D shape is cone.

To calculate the surface area of a cone, use the formula: \$V = 1/3 πr^2h\$ where \$56.52 m^3\$ represents the total area.

Explanation: In this step, calculate the surface area of a cone, use the formula: \$V = 1/3 πr^2h\$

where 'r', and 'h' represent the radius, and height, respectively, then the total area is \$56.52 m^3\$.

Step 2c

The next 3D shape is rectangular prism.

To calculate the surface area of a rectangular prism, use the formula: \$"length" times "width" times "height"\$ where \$210 m^3\$ represents the total area.

Explanation: In this step, calculate the surface area of a rectangular prism, use the formula: \$"length" times "width" times "height"\$

where 'r', and 'h' represent the radius, and height, respectively, then the total area is \$210 m^3\$.