Question

The volume of a triangular base prism as shown with given dimensions is cu ft.

• A. $\frac{75}{2}$
• B. $\frac{95}{2}$
• C. $\frac{105}{2}$
• D. $\frac{125}{2}$

Answer 1

The correct option is C $\frac{105}{2}$

We know,
Volume of a triangular base prism is the product of area of its triangular base and length of the prism.
i.e,
Volume of triangular base prism = Area of base x length

Here,
Length = 7 ft.
$\text{Area of triangular base =}\frac{1}{2}\times base\times height$
$=\frac{1}{2}\times 5\times 3$
$=\frac{15}{2}\text{sq ft}$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ∴ $\text{Volume of prism =}\frac{15}{2}\times 7=\frac{105}{2}\text{cu ft}$