1. The diagram shows the top view of a prism that has a height of 17.5 cm. Which of the following is the best approximation of the volume of the prism?
         
    A. 1414 cm3.
         
    B. 546 cm3.
           
    C.315 cm3.
         
    D. 273 cm3

The diagram shows the top view of a prism that has a height of 17.5 cm. Which of the following is the best approximation of the volume of the prism? A. 1414 cm3 class=

Verified Answer :

I think the answer is C.

Answer:

(C)

Step-by-step explanation:

It is given that a prism that has a height of 17.5 cm and from the figure, the length and width of the given prism are equal that is equal to 6cm.

Then, the volume of prism=\(\frac{1}{2}{\times}length{\times}width{\times}height\)

Substituting the values, we get

\(V=\frac{1}{2}{\times}6{\times}6{\times}117.5\)

\(V=3{\times}6{\times}17.5\)

\(V=315cm^3\)

Thus, option C is correct.