Question

merya 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., base length 8 in., base 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 \( V = \frac{1}{3} \times \text{base area} \times \text{height} \). The base is a rectangle with length \( l = 8 \) in and width \( w = 6 \) in, so the base area \( A = l \times w \).

Step2: Calculate the base area.

\( A = 8 \times 6 = 48 \) square inches.

Step3: Substitute the base area and height into the volume formula.

The height \( h = 11 \) in. So \( V = \frac{1}{3} \times 48 \times 11 \).

Step4: Perform the multiplication.

First, \( \frac{1}{3} \times 48 = 16 \), then \( 16 \times 11 = 176 \).

Answer:

176