Fernandez Joseph

05/10/2023 · Junior High School

EXERCISE 2 (a) A cylinder has a height of 6 cm and a diameter of 8 cm . The dimensions are doubled. (1) What is the scale factor? (2) Show that the surface area of the enlarged cylinder is \( k^{2} \times \) surface area of original. (3) Show that the volume of the enlarged cylinder is \( k^{3} \times \) surface area of original. The surface area of a cuboid is \( 0,0292 \mathrm{~m}^{2} \) and its volume is \( 24 \mathrm{~cm}^{3} \). (1) Determine the surface area (in \( \mathrm{cm}^{2} \) ) and volume (in \( \mathrm{cm}^{3} \) ) of the cuboid formed if the dimensions of the original cuboid are multiplied by 5 . (2) Suppose that the volume of the original cuboid is increased by 8 times its value. The surface area of a cube is \( 96 x^{2} \) and its volume is \( 64 x^{3} \). Determine, in terms of \( x \) : (1) the surface area and volume of the cube formed if the dimensions of the original cube are halved. (2) the length of a side of the reduced cube.