Volume and Dimensions of Prisms

Mr. Nazarian teaches how to find the volume of irregular shapes composed of two rectangular prisms. The lesson involves breaking down an L-shaped figure into two prisms, calculating their individual volumes, and then summing them to find the total volume. Students are guided through a practice problem to reinforce the concept.

What is the main objective of today's lesson?

• To measure the height of a triangle

• To find the area of a circle

• To calculate the perimeter of a square

• To find volumes of solid figures composed of two non-overlapping rectangular prisms

What shape is the irregular figure described in the lesson?

• A circle

• An L-shaped figure

• A hexagon

• A triangle

How can the irregular L-shaped figure be divided?

• Into two circles

• Into two rectangular prisms

• Into two hexagons

• Into two triangles

What are the dimensions of the first rectangular prism?

• Length: 10, Width: 3, Height: 5

• Length: 12, Width: 4, Height: 6

• Length: 8, Width: 2, Height: 4

• Length: 5, Width: 5, Height: 5

What is the volume of the first rectangular prism?

• 200 cubic inches

• 100 cubic inches

• 120 cubic inches

• 150 cubic inches

How is the height of the second rectangular prism determined?

• By guessing

• By using a different formula

• By using the same height as the first prism

• By measuring it directly

What are the dimensions of the second rectangular prism?

• Length: 10, Width: 3, Height: 5

• Length: 12, Width: 4, Height: 5

• Length: 5, Width: 5, Height: 5

• Length: 8, Width: 2, Height: 4

What is the volume of the second rectangular prism?

• 240 cubic inches

• 100 cubic inches

• 200 cubic inches

• 150 cubic inches

How do you find the total volume of the irregular shape?

• By subtracting the volumes of the two prisms

• By multiplying the volumes of the two prisms

• By dividing the volumes of the two prisms

• By adding the volumes of the two prisms

What is the total volume of the irregular shape?

• 400 cubic inches

• 390 cubic inches

• 300 cubic inches

• 250 cubic inches