Questions: Find the volume of this rectangular pyramid. Be sure to include the correct unit in your answer.

Transcript text: Find the volume of this rectangular pyramid. Be sure to include the correct unit in your answer.

Solution

Solution Steps

Step 1: Identify the dimensions of the rectangular pyramid

The base of the rectangular pyramid has dimensions 8 inches by 3 inches, and the height of the pyramid is 8 inches.

Step 2: Calculate the area of the base

The area of the base (A) of the rectangular pyramid is given by the formula: \[ A = \text{length} \times \text{width} \] \[ A = 8 \, \text{in} \times 3 \, \text{in} = 24 \, \text{in}^2 \]

Step 3: Calculate the volume of the pyramid

The volume (V) of a pyramid is given by the formula: \[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \] \[ V = \frac{1}{3} \times 24 \, \text{in}^2 \times 8 \, \text{in} \] \[ V = \frac{1}{3} \times 192 \, \text{in}^3 \] \[ V = 64 \, \text{in}^3 \]