Question

Rectangular prism with length of 4 width of 5 and height of 2

Answer 1

To find the volume and surface area of a rectangular prism (also known as a rectangular cuboid), you can use the following formulas:

1. **Volume (V)**:
\[
V = \text{length} \times \text{width} \times \text{height}
\]

2. **Surface Area (SA)**:
\[
SA = 2(\text{length} \times \text{width} + \text{length} \times \text{height} + \text{width} \times \text{height})
\]

Given the dimensions:
- Length = 4
- Width = 5
- Height = 2

**Calculating Volume**:
\[
V = 4 \times 5 \times 2 = 40 \text{ cubic units}
\]

**Calculating Surface Area**:
\[
SA = 2(4 \times 5 + 4 \times 2 + 5 \times 2)
\]
Calculating each term separately:
- \(4 \times 5 = 20\)
- \(4 \times 2 = 8\)
- \(5 \times 2 = 10\)

Now substituting these values into the surface area formula:
\[
SA = 2(20 + 8 + 10) = 2(38) = 76 \text{ square units}
\]

**Summary**:
- Volume: 40 cubic units
- Surface Area: 76 square units