Surface Area and Volume of Cuboids

Rachel explains how to calculate the surface area of a cuboid, which also applies to cubes. She describes the structure of a cuboid, highlighting its six faces. Using different colors, she identifies and calculates the area of each pair of opposite faces. The process involves multiplying the dimensions of each face and summing the areas to find the total surface area. Rachel emphasizes the importance of checking calculations to avoid errors and concludes with the total surface area of the cuboid.

What is the surface area of a three-dimensional shape?

• The volume of the shape

• The perimeter of the shape

• The length of all edges combined

• The area of all the faces added together

How many faces does a cuboid have?

• Eight

• Six

• Four

• Ten

If the front face of a cuboid is 5 cm by 7 cm, what is the area of the front and back faces combined?

• 105 cm²

• 70 cm²

• 35 cm²

• 140 cm²

What is the height of the side face if the base is 3 cm and the height is the same as the front face's height of 5 cm?

• 3 cm

• 5 cm

• 8 cm

• 15 cm

What is the combined area of the two side faces if each has dimensions 5 cm by 3 cm?

• 15 cm²

• 30 cm²

• 45 cm²

• 60 cm²

If the top face of a cuboid is 7 cm by 3 cm, what is the area of the top and bottom faces combined?

• 21 cm²

• 42 cm²

• 63 cm²

• 84 cm²

Why do we use square centimeters instead of cubic centimeters when calculating surface area?

• Because surface area is a two-dimensional measure

• Because it is easier to calculate

• Because it involves volume

• Because it is a three-dimensional measure

What is the total surface area of the cuboid in the example?

• 100 cm²

• 142 cm²

• 200 cm²

• 242 cm²

What should you check to ensure accuracy in calculating the surface area?

• That all faces are the same size

• That the perimeter is correct

• That no dimensions are repeated

• That the volume is correct

What is the importance of using different colors in the explanation?

• To make it visually appealing

• To highlight the most important parts

• To make the video colorful

• To differentiate between different faces