Answer :

Answer:

Great! Let's solve this problem step by step. To find the height of the cargo box, we need to use the volume formula for a rectangular prism.

Given:

Length of the cargo box = 10 cm

Width of the cargo box = 8 cm

Volume of the cargo box = 280 cm³

The volume formula for a rectangular prism is:

Volume = Length × Width × Height

Step 1: Substitute the given values into the volume formula.

280 cm³ = 10 cm × 8 cm × Height

Step 2: Simplify the equation.

280 cm³ = 80 cm² × Height

Step 3: Divide both sides of the equation by 80 cm² to isolate the height.

280 cm³ ÷ 80 cm² = Height

3.5 cm = Height

Therefore, the height of the cargo box is 3.5 cm.