Introduction to Volume of Composite Rectangles

Front

What is volume?

Back

Volume is the amount of space that a three-dimensional object occupies, measured in cubic units.

Front

What is a rectangular prism?

Back

A rectangular prism is a three-dimensional shape with six rectangular faces, where opposite faces are equal.

Front

How do you find the volume of a rectangular prism?

Back

To find the volume of a rectangular prism, multiply its length (l), width (w), and height (h): Volume = l × w × h.

Front

What does 'cutting' a shape mean in volume problems?

Back

'Cutting' a shape means dividing a composite shape into simpler rectangular prisms to find their individual volumes.

Front

What is the first step when finding the volume of composite rectangles?

Back

The first step is to 'cut' the shapes into simpler rectangular prisms.

Front

After cutting the shapes, what should you find next?

Back

You should find the length (l), width (w), and height (h) of each rectangular prism.

Front

What do you do after finding the l, w, and h of both prisms?

Back

You find the volume of both prisms by using the formula Volume = l × w × h.

Front

If rectangle A has l=10, w=4, and h=2, what is its volume?

Back

Volume = 10 × 4 × 2 = 80 cubic units.

Front

If rectangle B has l=8, w=3, and h=2, what is its volume?

Back

Volume = 8 × 3 × 2 = 48 cubic units.

Front

What is the total volume of two rectangular prisms?

Back

The total volume is the sum of the volumes of both prisms.