Calculating the volume of the prism
Prism is right angled triangle with its two shorter sides equal to 4 cm and 8cm ,the prism is 10 cm long
volume = length * width * height
Just crank it out
V = (L*W*h)/2 = (10*4*8)/2 = __cm^3.
To calculate the volume of a prism, we need to multiply the area of the base by the height of the prism. In this case, the base of the prism is a right-angled triangle.
To find the area of the right-angled triangle, we can use the formula: area = (1/2) * base * height.
In the given problem, the two shorter sides of the triangle are 4 cm and 8 cm. So, one of these sides can be considered the base, and the other as the height. Let's assume the base is 4 cm and the height is 8 cm.
Hence, the area of the base of the prism is: area = (1/2) * 4 cm * 8 cm = 16 cm².
Now, we multiply the area of the base (16 cm²) by the height of the prism (10 cm) to obtain the volume.
Therefore, volume = area of base * height = 16 cm² * 10 cm = 160 cm³.
So, the volume of the prism is 160 cubic centimeters (cm³).