What is the volume of the right prism with height h=14 cm, if the base of the prism is a triangle ∆ABC with side AB = 9 cm and altitude to that side h= 6 cm.
Multiply the side which is 9 by the altitude of it which is 6, divide by 2 and get 27. 27 times 14 is 378.
ANSWER : 378
To find the volume of a right prism, we need to multiply the cross-sectional area of the base by the height of the prism.
In this case, the base of the prism is a triangle ∆ABC with side AB = 9 cm and altitude to that side h= 6 cm.
Step 1: Find the area of the triangle base (∆ABC):
The formula for the area of a triangle is A = (1/2) * base * height, where the base is AB and the height is h.
A = (1/2) * 9 cm * 6 cm
= 27 cm²
Step 2: Calculate the volume of the prism:
Since we have the cross-sectional area of the base (27 cm²) and the height of the prism (14 cm), we can find the volume using the formula V = base area * height.
V = 27 cm² * 14 cm
= 378 cm³
Therefore, the volume of the right prism is 378 cm³.
To find the volume of a right prism, you need to multiply the area of the base by the height. In this case, the base of the prism is a triangle ∆ABC.
To find the area of a triangle, you can use the formula:
Area = (base * height) / 2
In this case, the base of the triangle is AB and its altitude is given as 6 cm. So, the area of the base is:
Area = (9 * 6) / 2 = 27 square cm
Now that we have the area of the base, we can calculate the volume by multiplying it by the height of the prism:
Volume = Area of Base * Height
= 27 square cm * 14 cm
= 378 cubic cm
Therefore, the volume of the right prism with a height of 14 cm and a base in the shape of a triangle ∆ABC, with side AB = 9 cm and altitude to that side h = 6 cm, is 378 cubic cm.
Area of base = 9*6/2
Volume = area of base * height
Do the calculations.