1. A cube has a volume of 512 cm3. 1. What is the side length of the cube? Show your work. See page 165 in your textbook. I did the square route of 512 to get 8. 2. What is the area of one face of the cube? Show your work. 3. What is the surface area of the cube? Show your work. See page 176 in your textbook. 4. If the side length of the cube were doubled, what would the new volume be? See page 180 in your textbook.
A cube has all sides equal
Volume of a cube is H X W X D (height width depth)
H & W & D are all the same
so H X H X H = 512 H^3 = 512 H = Cuberoot(512) = 8 cm
Area = H x W = 8 x8 = 64 cm^2
Surface area : there are SIX sides to a cube so 6 x 64 = 384 cm^2
If side length is doubled to 16 volume = 16 x 16 x 16 = 4096 cm^3 (2x 2 x 2 x 512= 4096)