Question

briyana wants to make a pyramid out of plaster for her social studies class. how much plaster does she need to make a rectangular pyramid with the dimensions shown below? image of a rectangular pyramid with height 11 in, length 8 in, width 6 in type the answer in the box. cubic inches

Explanation:

Step1: Recall the volume formula for a rectangular pyramid

The volume \( V \) of a rectangular pyramid is given by the formula \( V=\frac{1}{3}lwh \), where \( l \) is the length of the base, \( w \) is the width of the base, and \( h \) is the height of the pyramid.

Step2: Identify the values of \( l \), \( w \), and \( h \)

From the problem, the length \( l = 8 \) inches, the width \( w = 6 \) inches, and the height \( h = 11 \) inches.

Step3: Substitute the values into the formula

Substitute \( l = 8 \), \( w = 6 \), and \( h = 11 \) into the formula \( V=\frac{1}{3}lwh \):
\[

$$\begin{align*} V&=\frac{1}{3}\times8\times6\times11\\ &=\frac{1}{3}\times48\times11\\ & = 16\times11\\ &=176 \end{align*}$$

\]

Answer:

176