Question

The dimensions of a rectangular prism are shown below. What is the volume in cubic inches? ENTER NUMBER ONLY
MUST SHOW EACH STEP and CALCULATIONS TO GET CREDIT.
Write the formula:
V =
B =
h =
Plug it in and solve!
V = ___ X ___ X ___
cubic inches=___

2.7 in box 7 in
5 in

Answer 1

To calculate the volume of a rectangular prism, we can use the formula:

\[ V = B \times h \]

Where:
- \( V \) is the volume,
- \( B \) is the area of the base,
- \( h \) is the height.

1. **Identify dimensions:**
- Length (l) = 7 in
- Width (w) = 5 in
- Height (h) = 2.7 in

2. **Calculate the area of the base (B):**
\[
B = l \times w
\]
\[
B = 7 \, \text{in} \times 5 \, \text{in} = 35 \, \text{in}^2
\]

3. **Now, plug in the values to calculate the volume (V):**
\[
V = B \times h
\]
\[
V = 35 \, \text{in}^2 \times 2.7 \, \text{in}
\]
\[
V = 94.5 \, \text{in}^3
\]

So, the final answer is:

**Volume in cubic inches = 94.5**