Question

find the volume of this prism.
image of a rectangular prism with height 7 cm, length 6 cm, width 4 cm
volume of a prism
v = bh
v = ? cm³

Explanation:

Step1: Find the base area (B)

The base of the prism is a rectangle with length \( 6 \, \text{cm} \) and width \( 4 \, \text{cm} \). The area of a rectangle is \( \text{length} \times \text{width} \), so \( B = 6 \times 4 \).
\( B = 24 \, \text{cm}^2 \)

Step2: Calculate the volume (V) using \( V = Bh \)

The height (h) of the prism is \( 7 \, \text{cm} \). Substitute \( B = 24 \) and \( h = 7 \) into the formula: \( V = 24 \times 7 \).
\( V = 168 \, \text{cm}^3 \)

Answer:

\( 168 \)