Exploring maths through problem solving

Problem of the Week

Working with a square root.

When placed in the ground, the square root of the area occupied by this tree root is 1.5 metres. If the volume occupied by the tree root is 1.5 cubic metres, what is the depth of the square root?


The volume of a prism (V) is simply the area of its base (A) multiplied by its depth, or  height (h).

V = Ah

So, 1.5m cubed = 1.5m squared x h

The depth (h) must be 1 metre.

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