Question

a right rectangular prism with base dimensions 7.8 m by 5.1 m has a volume of 110.1 m³. determine the height of the prism to the nearest tenth of a meter. select one: a. 2.8 m b. 5.5 m c. 1.2 m d. 8.3 m

Explanation:

Step1: Calculate base - area

The base of the rectangular prism is a rectangle. The area of a rectangle is $A = l\times w$, where $l = 7.8$ m and $w = 5.1$ m. So, $A=7.8\times5.1 = 39.78$ m².

Step2: Find the height

The volume formula of a rectangular prism is $V=A\times h$, where $V = 110.1$ m³ and $A = 39.78$ m². We can solve for $h$ by $h=\frac{V}{A}$. So, $h=\frac{110.1}{39.78}\approx2.8$ m.

Answer:

A. 2.8 m