Question

Frida wants to measure the volume of a stone. She starts by pouring 473 mL of water into a large measuring cup. Then she drops in the stone. Now the water measures 499 mL. What is the volume of the stone?

Answer 1

Given:

Frida wants to measure the volume of stone.

She starts by pouring 473 mL of water into a large measuring cup.

Then she drops in the stone.

Now the water measures 499 mL.

To find:

What is the volume of the stone?

Solution:

Let "x" represent the volume of the stone.

We know,

$\boxed{\bold{1 \:ml = 1 \:cm^3}}$

So,

The volume of water Frida poured = 473 ml = 473 cm³

and

The volume of the water after the stone was dropped = 499 ml = 499 cm³

Now, we get

[The volume of stone] + [The initial volume of water] = [The final volume of water]

substituting the values

⇒ $x \:cm^3 + 473 \:cm^3 = 499\:cm^3$

⇒ $x \:cm^3 = 499\:cm^3 - 473 \:cm^3$

⇒ $\bold{x \:cm^3 = 26 \:cm^3}$

Thus, the volume of the stone is → 26 cm³.

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