The volume of the triangular prism is 135cm^3 .
To calculate the volume of a triangular prism, you can use the formula:
Volume=Base Area×Height,
where the base area is the area of the triangular base, and the height is the distance between the triangular bases.
For a triangular prism, the base area (A) can be calculated using the formula for the area of a triangle:
A= 1/2 ×base×height.
Given the dimensions of the triangular prism:
Base:
5cm×9cm (length × width of the triangle),
Height of the triangle:
11cm,
Height of the prism:
6cm.
Let's calculate the base area (A) first:
A= 1/2 ×5cm×9cm=22.5cm^2 .
Now, we can calculate the volume of the triangular prism:
Volume= Base Area×Height
=22.5cm^2 ×6cm
=135cm^3 .
So, the volume of the triangular prism is 135cm^3 .
Question
Calculate the volume of the triangular prism shown below. Give your answer in cm³. 5 cm 9 cm 11 cm 6 cm.