Understanding Rectangular Prisms

This video tutorial introduces the concept of a Balok, a three-dimensional shape formed by rectangles or squares. It covers the properties of Balok, including vertices, edges, and faces, and explains how to calculate the surface area and volume. The tutorial also discusses diagonal planes and space diagonals, providing formulas for their calculation. Example problems are solved to demonstrate the application of these concepts.

What is a rectangular prism primarily composed of?

• Five pairs of hexagons

• Three pairs of squares or rectangles

• Four pairs of triangles

• Two pairs of circles

Tags

CCSS.6.G.A.4

How many vertices does a rectangular prism have?

• 6

• 8

• 10

• 12

Tags

CCSS.6.G.A.4

Which of the following is NOT a type of edge in a rectangular prism?

• Length

• Width

• Height

• Diagonal

Tags

CCSS.7.G.B.6

How many face diagonals does a rectangular prism have?

• 6

• 8

• 10

• 12

Tags

CCSS.7.G.B.6

What is the formula for the total length of all edges of a rectangular prism?

• 8 * (length + width + height)

• 2 * (length + width + height)

• 6 * (length + width + height)

• 4 * (length + width + height)

Tags

CCSS.7.G.B.6

What is the formula for the surface area of a rectangular prism?

• length * width * height

• length * width + height

• length + width + height

• 2 * (length * width + length * height + width * height)

Tags

CCSS.7.G.B.6

What is the volume of a rectangular prism with length 15 cm, width 5 cm, and height 10 cm?

• 750 cm³

• 500 cm³

• 1250 cm³

• 1000 cm³

Tags

CCSS.4.MD.A.2

How many rectangular prism frames can be made from a 12 m long wire if each frame requires 400 cm of wire?

• 3

• 5

• 4

• 2

Tags

CCSS.7.G.B.6

If a rectangular prism has a length of 18 cm, width of 12 cm, and a surface area of 912 cm², what is its height?

• 26 cm

• 20 cm

• 22 cm

• 24 cm

Tags

CCSS.7.G.B.6

What is the formula for the diagonal of a rectangular prism?

• √(length² + width²)

• √(width² + height²)

• √(length² + height²)

• √(length² + width² + height²)

Tags

CCSS.7.G.B.6