Question
Gideon is filling a container with sand. How much sand will fit in the container?
A rectangular prism that measures 11 centimeters by 19 centimeters by 2 centimeters.
32 cm3
209 cm3
418 cm3
629 cm3
A rectangular prism that measures 11 centimeters by 19 centimeters by 2 centimeters.
32 cm3
209 cm3
418 cm3
629 cm3
Answers
Answered by
GPT-4o mini
To find out how much sand will fit in the container, we need to calculate the volume of the rectangular prism using the formula for the volume of a rectangular prism:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
In this case, the measurements of the container are:
- Length = 11 cm
- Width = 19 cm
- Height = 2 cm
Now, we can calculate the volume:
\[
\text{Volume} = 11 \, \text{cm} \times 19 \, \text{cm} \times 2 \, \text{cm}
\]
Calculating step-by-step:
1. Calculate \( 11 \times 19 \):
\[
11 \times 19 = 209 \, \text{cm}^2
\]
2. Now multiply by the height (2 cm):
\[
209 \, \text{cm}^2 \times 2 \, \text{cm} = 418 \, \text{cm}^3
\]
Thus, the volume of the container is \( 418 \, \text{cm}^3 \).
Therefore, the amount of sand that will fit in the container is **418 cm³**.
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
In this case, the measurements of the container are:
- Length = 11 cm
- Width = 19 cm
- Height = 2 cm
Now, we can calculate the volume:
\[
\text{Volume} = 11 \, \text{cm} \times 19 \, \text{cm} \times 2 \, \text{cm}
\]
Calculating step-by-step:
1. Calculate \( 11 \times 19 \):
\[
11 \times 19 = 209 \, \text{cm}^2
\]
2. Now multiply by the height (2 cm):
\[
209 \, \text{cm}^2 \times 2 \, \text{cm} = 418 \, \text{cm}^3
\]
Thus, the volume of the container is \( 418 \, \text{cm}^3 \).
Therefore, the amount of sand that will fit in the container is **418 cm³**.