Question

find the volume of the figure
the volume of the figure is
(round to the nearest whole number as needed)

Explanation:

Step1: Calculate the base area

The base is a triangle with base \(b = 5\) m and height \(h = 3\) m. The area of a triangle \(A=\frac{1}{2}\times b\times h\).

$$A=\frac{1}{2}\times5\times3=\frac{15}{2}=7.5\space m^{2}$$

Step2: Calculate the volume of the prism

The volume of a prism \(V = A\times H\), where \(A\) is the base - area and \(H\) is the height of the prism. Here \(H = 13\) m.

$$V=7.5\times13 = 97.5$$

Step3: Round to the nearest whole number

Since \(0.5\) is the decimal part, when rounding \(97.5\) to the nearest whole number, we use the rule: if the decimal part is \(0.5\) or more, we round up.
\(97.5\approx98\)

Answer:

\(98\)