The cross-section of a prism is a right-angled triangle 3cm by 4cm by 5cm. The height of the prism is 8cm. Calculate its volume

Answer Details

To find the volume of the prism, we need to multiply the area of the base by the height. Since the cross-section of the prism is a right-angled triangle, the area of the triangle is given by: Area = 1/2 x base x height = 1/2 x 3cm x 4cm = 6cm^2 The height of the prism is given as 8cm. Therefore, the volume of the prism is given by: Volume = Area of base x height = 6cm^2 x 8cm = 48cm^3 Hence, the volume of the prism is 48cm^3. Therefore, the correct option is (a) 48cm^3.