Volume and Surface Area of a Rectangular Prism

This video tutorial from Moomoomath explains how to calculate the volume and surface area of a rectangular prism. It begins with an introduction to the volume formula, using one-third times the base area and height. The tutorial then covers the more complex process of calculating surface area, which involves finding the lateral area and adding it to the base area. The video includes example problems to illustrate these calculations, providing a step-by-step guide to solving for both volume and surface area.

What is the main topic discussed in this video?

• Understanding the Pythagorean theorem

• Solving quadratic equations

• Finding the volume and surface area of a rectangular prism

• Calculating the area of a circle

Tags

CCSS.7.G.B.6

Which formula is used to calculate the volume of a rectangular prism?

• Base area times height

• 1/2 times the perimeter

• 1/3 times the base area

• Length times width times height

Tags

CCSS.7.G.B.6

What is the first step in calculating the surface area of a rectangular prism?

• Multiplying length by width

• Calculating the lateral area

• Adding the base and lateral areas

• Finding the base area

Tags

CCSS.7.G.B.6

How do you calculate the lateral area of a rectangular prism?

• 1/2 times the perimeter times the slant height

• Length times width

• 1/3 times the base area

• Base area times height

Tags

CCSS.7.G.B.6

In the example, what is the volume of the rectangular prism with dimensions 10, 6, and 10?

• 600 units cubed

• 300 units cubed

• 200 units cubed

• 100 units cubed

Tags

CCSS.7.G.B.6

What is the slant height used for in the surface area calculation?

• To determine the volume

• To calculate the lateral area

• To find the base area

• To measure the height of the prism

Tags

CCSS.7.G.B.6

What is the base area of a rectangular prism with a length of 10 and a width of 6?

• 60

• 16

• 100

• 36

Tags

CCSS.7.G.B.6

In the second example, what is the total surface area of the rectangular prism?

• 176 units squared

• 236 units squared

• 150 units squared

• 200 units squared

Tags

CCSS.7.G.B.6

What is the final step in calculating the total surface area of a rectangular prism?

• Subtracting the base area from the lateral area

• Multiplying the base area by the height

• Dividing the lateral area by the base area

• Adding the lateral area and the base area

Tags

CCSS.RI.5.7

CCSS.RI.6.7

CCSS.RI.7.7

CCSS.RL.6.7

CCSS.RL.7.7

What is the purpose of the video tutorial?

• To teach how to solve linear equations

• To introduce basic algebra concepts

• To demonstrate the calculation of volume and surface area of a rectangular prism

• To explain the properties of triangles

Tags

CCSS.RI.5.7

CCSS.RI.6.7

CCSS.RL.5.7

CCSS.RL.6.7

CCSS.RL.8.7