Question

How much water can a triangular base prism tank of given dimensions hold?

• A. 140 cu. ft
• B. 154 cu. ft
• C. 168 cu. ft
• D. 182 cu. ft

Answer 1

The correct option is B 154 cu. ft

The volume of water the triangular base prism tank can hold is the volume of the tank.
i.e,
Volume of triangular base prism = Area of base x length

Here,
Length = 11 ft.
$\text{Area of triangular base =}\frac{1}{2}\times base\times height$
$=\frac{1}{2}\times 7\times 4$
$=14\text{sq. ft}$

$\therefore \text{Volume of prism =}14\times 11$
$=154\text{cu. ft}$
$\therefore$Volume of water the tank can hold is 154 cu. ft