Question

find the missing dimension of the prism. volume = 2700 yd³ 12 yd 15 yd v = □ yd

Explanation:

Step1: Recall Volume Formula for Prism

The volume \( V \) of a rectangular prism is given by \( V = l \times w \times h \), where \( l \) is length, \( w \) is width, and \( h \) is height (or the missing dimension \( v \) here). So, \( 2700 = 12 \times 15 \times v \).

Step2: Calculate \( 12 \times 15 \)

First, compute the product of the known dimensions: \( 12 \times 15 = 180 \). Now the equation is \( 2700 = 180 \times v \).

Step3: Solve for \( v \)

To find \( v \), divide both sides of the equation by 180: \( v = \frac{2700}{180} \). Simplifying, \( \frac{2700}{180} = 15 \).

Answer:

15