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.
