Question

What's the volume of the prism with a base of isosceles right-angled triangled in which two sides are of length 6 cm and one side of length $\sqrt{7}2$ cm and height of the prism is 10 cm?

• A. $180c{m}^3$
• B. $18c{m}^3$
• C. $280c{m}^3$
• D. $90c{m}^3$

Answer 1

The correct option is A $180c{m}^3$

Given that,
Height of the prism = 10 cm.
Dimension of base triangle = 6 cm, 6 cm and $\sqrt{7}2$ cm.

We know that,
volume of prism
$=Areaofbase\times height$
$\because$ The base is isosceles right-angled triangled.

Now,
area of base (isosceles right-angled triangled)
$=\frac{1}{2}\times base\times height$
$=\frac{1}{2}\times 6\times 6$
$=18c{m}^2$

$\therefore$ Volume of the prism
$=basearea\times height$
$=18\times 10$
$=180c{m}^3$