Question

question 4
is the following a pyramid or prism?
if the figure is a prism, find the following:
shape of base:
( b = )
( h = )
if the figure is a pyramid, find the following:
shape of base:
( b = )
( h = )
( l = )
( p = )

Explanation:

Step1: Identify the shape

A prism has two congruent and parallel bases connected by rectangles. A pyramid has one base and triangular faces that meet at a vertex. The given figure is a prism.

Step2: Determine the shape of the base

The base of the prism is a triangle.

Step3: Calculate the area of the base ($B$)

The formula for the area of a triangle is $B=\frac{1}{2}\times base\times height$. Here, base = 6.2 yd and height = 8.5 yd. So, $B=\frac{1}{2}\times6.2\times8.5 = 26.35$ yd².

Step4: Identify the height of the prism ($h$)

The height of the prism (distance between the two triangular bases) is 15.7 yd.

Answer:

Shape of base: Triangle
$B = 26.35$ yd²
$h = 15.7$ yd