Question

Leonard is going to construct a pyramid with cardboard for math class. Find how many square inches (in.2)
of cardboard he will need. Use 4(1/2)bh+b2
, where b
, the base of the pyramid, is 3 in. and h
, the height of the pyramid, is 8 in.(1 point)

Answer 1

To find the surface area of the pyramid using the formula you provided, we need to substitute in the values for the base \( b \) and the height \( h \).

Given:
- Base width \( b = 3 \) inches
- Height \( h = 8 \) inches

The formula given is:

\[
4(1/2)bh + b^2
\]

Let's break it down:

1. Calculate \( 4(1/2)bh \):
\[
4(1/2)bh = 4 \times \frac{1}{2} \times 3 \times 8 = 2 \times 3 \times 8 = 48 \, \text{in}^2
\]

2. Calculate \( b^2 \):
\[
b^2 = 3^2 = 9 \, \text{in}^2
\]

3. Now, add both parts together:
\[
\text{Total Surface Area} = 48 + 9 = 57 \, \text{in}^2
\]

Thus, Leonard will need **57 square inches** of cardboard to construct the pyramid.