Question

Linda is building steps for her porch. What is the volume of the steps?

144,000 cm3
288,000 cm3
324,000 cm3
540,000 cm3

Answer 1

The volume of the steps is:

• 324,000 cm3

Explanation:

Remember that the volume regularly is:

• Volume = height * width * depth.

There are many forms to solve this exercise, but I'll show you two:

1. Imagine that aren't steps but a big solid, then its volume would be:

• Volume of big solid = 60 cm * 60 cm * 120 cm
• Volume of big solid = 432000 cm3

Now you can subtract the volume of a small solid with measures 30 cm * 30 cm * 120 cm (where is the blank for the step):

• Volume of a small solid = 30 cm * 30 cm * 120 cm
• Volume of a small solid = 108000 cm3

Now you subtract:

• Volume of the building steps = 432000 cm3 - 108000 cm3
• Volume of the building steps = 324000 cm3

2. The building steps are formed by three solid with volume 30 cm * 30 cm * 120 cm, so:

• Volume of the building steps = 3 (30 cm * 30 cm * 120 cm)
• Volume of the building steps = 324000 cm3