The base of a prism is a right angled triangle with it's two shorter sides equal to 4cm and 8cm .the prism is 10cm long. Calculate the volume of the prism
you want :
volume = area of base x height
Your base is a right-angled triangle
= (1/2)(4)(8)
multiply that by the height of the prism and you are done
gud
=160
To calculate the volume of a prism, we need to know the area of its base and its height.
In this case, the base of the prism is a right-angled triangle with two shorter sides measuring 4cm and 8cm.
To find the area of a triangle, we can use the formula: area = 1/2 * base * height.
Since this is a right-angled triangle, we can consider one of the shorter sides as the base and the other shorter side as the height. Let's choose the side measuring 4cm as the base and the side measuring 8cm as the height.
Substituting the values into the formula, we have:
area = 1/2 * 4cm * 8cm
= 1/2 * 32cm²
= 16cm²
Now, to calculate the volume of the prism, we multiply the area of the base by its height. In this case, the height of the prism is given as 10cm.
volume = area * height
= 16cm² * 10cm
= 160cm³
Therefore, the volume of the prism is 160 cubic centimeters (cm³).