Question

Work out the volume of this prism.

Answer 1

Answer:

Volume = 175 cm³

Step-by-step explanation:

We can picture this image as a whole rectangular prism, with a part that has been cut out of it.

Step 1: Volume of original prism

We are going to solve the volume of the original prism, with the dimensions of 9, 7, and 5

• V = 9 * 7 * 5
• V = 315

Step 2: Volume of part cut out

We are solving the volume of that part that has been cut out ( missing space)

• V = 5 * (9-2) * (7-3)
• V = 5 * 7 * 4
• V = 140

Step 3: Total Volume

Now we just subtract the cutout part from the original volume

• 315 - 140
• V = 175

Volume = 175 cm³

Note, we could have also found the volume by splitting this shape into two prisms with dimensions (9 * 3 * 5) and (4 * 5 * 2). This way would also get us:

• V = (9 * 3 * 5) + (4 * 5 * 2)
• V = 135 + 40
• V = 175

-Chetan K