Find the Length EG in a Cuboid with Volume 70 cm³

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information.
• Step 2: Apply the volume formula for a cuboid.
• Step 3: Rearrange the formula to solve for the unknown dimension.
• Step 4: Perform the necessary calculations.

Let's proceed with each step:

Step 1: The problem provides us with a cuboid with:

• Volume $V = 70$ cm$^3$
• Width $w = 5$ cm
• Height $h = 7$ cm
• The unknown length `l` is side EG.

Step 2: The volume of a cuboid is calculated using the formula:

$V = l \times w \times h$

Step 3: We need to rearrange the formula to solve for the length $l$:

$l = \frac{V}{w \times h}$

Step 4: Substitute the values into the formula:

$l = \frac{70}{5 \times 7}$

$l = \frac{70}{35}$

$l = 2$ cm

Therefore, the length of side EG is $2$ cm and the correct choice is option 3.