Question

find the volume of this prism.
(an image of a rectangular prism with height 5 m, length 6 m, width 3 m)
volume of a prism
v = bh
v = ? m³

Explanation:

Step1: Find the area of the base (B)

The base of the prism is a rectangle with length \( 6 \, \text{m} \) and width \( 3 \, \text{m} \). The area of a rectangle is \( \text{length} \times \text{width} \), so \( B = 6 \times 3 \).
\( B = 18 \, \text{m}^2 \)

Step2: Find the height (h) of the prism

The height of the prism (the distance between the two bases) is given as \( 5 \, \text{m} \).

Step3: Calculate the volume (V) using \( V = Bh \)

Substitute \( B = 18 \, \text{m}^2 \) and \( h = 5 \, \text{m} \) into the formula: \( V = 18 \times 5 \).
\( V = 90 \, \text{m}^3 \)

Answer:

\( 90 \)