Question

Question
Use the image to answer the question.

An illustration shows a gift box in the shape of a rectangular prism. The length measures 15 centimeters, the width measures 14 centimeters, and the height measures 14 centimeters.

What is the volume of a wrapped present that has the dimensions 14 cm × 14 cm × 15 cm?

(1 point)
Responses

210 cm3
210 cm cubed

1,204 cm3
1,204 cm cubed

2,940 cm3
2,940 cm cubed

2,744 cm3

Answer 1

To find the volume of a rectangular prism (in this case, the gift box), you can use the formula:

\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]

Given the dimensions of the gift box are:
- Length = 15 cm
- Width = 14 cm
- Height = 14 cm

Now plug in the values:

\[
\text{Volume} = 15 \, \text{cm} \times 14 \, \text{cm} \times 14 \, \text{cm}
\]

Calculating step-by-step:

1. First, calculate the area of the base:

\[
14 \, \text{cm} \times 14 \, \text{cm} = 196 \, \text{cm}^2
\]

2. Now multiply by the length:

\[
15 \, \text{cm} \times 196 \, \text{cm}^2 = 2,940 \, \text{cm}^3
\]

Therefore, the volume of the wrapped present is:

\[
\boxed{2,940 \, \text{cm}^3}
\]

The correct answer is **2,940 cm³**.