A rectangular box measures 16 cm by 10 cm by 6 cm.What is the capacity of the rectangular box?Give your answer in millilitres.

1. ### Break Down the Problem

To calculate the capacity of a rectangular box, we need to find its volume. The formula for the volume $V$ of a rectangular prism is given by:

$V = l \times w \times h$

where $l$ is the length, $w$ is the width, and $h$ is the height of the box.

2. ### Relevant Concepts

Given the dimensions of the box:

• Length (l) = 16 cm
• Width (w) = 10 cm
• Height (h) = 6 cm

We will use the formula for volume to find the capacity in cubic centimeters first, and then convert that volume to milliliters (1 cm³ = 1 mL).

3. ### Analysis and Detail

Calculating the volume:

$V = 16 \, \text{cm} \times 10 \, \text{cm} \times 6 \, \text{cm}$

Calculating step by step:

1. First, calculate $16 \times 10$: $16 \times 10 = 160 \, \text{cm}^2$

2. Then, multiply $160 \, \text{cm}^2$ by $6$: $160 \times 6 = 960 \, \text{cm}^3$

4. ### Verify and Summarize

The calculated volume is $960 \, \text{cm}^3$, which is equivalent to $960 \, \text{mL}$ since $1 \, \text{cm}^3 = 1 \, \text{mL}$.

Final Answer

The capacity of the rectangular box is 960 millilitres.