Question

Polina has a glass vase in the shape of a rectangular prism with an open top, as shown below.
A rectangular prism with a length of 4 inches, width of 3.5 inches, and height of 10 inches.
What is the maximum amount of water that the vase can hold?
126 inches cubed
140 inches cubed
164 inches cubed
178 inches cubed

Answer 1

To find the maximum amount of water that the vase can hold, we need to calculate the volume of the rectangular prism. The formula for the volume \( V \) of a rectangular prism is given by:

\[
V = \text{length} \times \text{width} \times \text{height}
\]

Given the dimensions of the vase:
- Length = 4 inches
- Width = 3.5 inches
- Height = 10 inches

We can substitute these values into the formula:

\[
V = 4 \ \text{inches} \times 3.5 \ \text{inches} \times 10 \ \text{inches}
\]

Calculating step-by-step:

1. \( 4 \times 3.5 = 14 \ \text{square inches} \)
2. Now multiply this by the height:
\[
14 \ \text{square inches} \times 10 \ \text{inches} = 140 \ \text{cubic inches}
\]

Thus, the maximum amount of water that the vase can hold is:

\[
\boxed{140 \ \text{cubic inches}}
\]