Question

Find the volume of this L shaped prism

Answer 1

The best way to proceed answering this question is by splitting the shape into two different shapes. *The picture attached shows how this is done*

1. First split the L shaped prism into 2 rectangular prisms
2. Rewrite their dimensions
3. FIND THE VOLUME OF THE TWO PRISMS
4. Add the values together

The volume equation for a rectangular prism is : w × l × h

• w = width
• l = length
• h= height

Let's do the top rectangular prism:

With the shapes split, the dimensions of this new prism are 5 × 6 × 4

So the volume is 5 × 6 × 4 = 120 cm³

Let's do the bottom prism:

It's dimensions are 15 × 6 × 8 = 720 cm³

Now, add the two values to get your final volume:

720 + 120 = 840 cm³

Answer 2

840 cm³

Explanation:

We can decompose the L-shaped prism into two rectangular prisms as shown in the figure

The dimensions of the top rectangular prism are 4cm x 5cm x 6 cm with a volume of 4 x 5 x 6 = 120 cm³

The bottom rectangular prism has dimensions 15cm x 8cm x 6cm with a volume of 15 x 8 x 6 = 720 cm³

Total volume of both rectangular prisms = Volume of L-shaped prism

= 120 + 720 = 840 cm³