At the base of a straight prism lies a right-angled triangle with legs 2 cm and 5 cm.

At the base of a straight prism lies a right-angled triangle with legs 2 cm and 5 cm. Find the volume of the prism if the height is 3 cm.

It is known:

Straight prism.

The base is a right-angled triangle.

The first leg of a right-angled triangle = 2 cm;

The second leg of a right-angled triangle = 5 cm;

Prism height = 3 cm.

Let’s find the volume of the prism.

1) The volume of the prism is equal to the product of the area of ​​the base of the prism and the height.

2) Find the area of ​​the base of the prism, that is, the area of ​​a right-angled triangle.

S = 1/2 * a * b = 1/2 * 2 cm * 5 cm = 2/2 * 5 cm ^ 2 = 5 cm ^ 2;

3) Find the volume of the prism.

V = S * h = 5 cm ^ 2 * 5 cm = 25 cm ^ 3.

at the base of the straight prism lies a right-angled triangle with legs 2 cm and 5 cm. Find the volume of the prism if the height is 3 cm.