Final answer:
To find the number of cubes that can be cut out from a piece of timber, we need to calculate the volume of the timber and divide it by the volume of one cube. The correct answer is D) 7000 cubes.
Step-by-step explanation:
To find the number of cubes that can be cut out from a piece of timber, we need to calculate the volume of the timber and divide it by the volume of one cube. The volume of the timber is given by multiplying its length, width, and height. The volume of one cube is given by multiplying the length, width, and height of the cube. Once we have both volumes, we can divide the volume of the timber by the volume of one cube to find the number of cubes that can be cut out.
Given:
Length of timber = 7 m = 700 cm
Width of timber = 4 cm
Height of timber = 2 cm
Length of one cube = Width of one cube = Height of one cube = 2 cm
Volume of timber = Length x Width x Height = 700 cm x 4 cm x 2 cm = 5600 cm³
Volume of one cube = Length x Width x Height = 2 cm x 2 cm x 2 cm = 8 cm³
Number of cubes = Volume of timber / Volume of one cube = 5600 cm³ / 8 cm³ = 700 cubes
Therefore, the correct answer is D) 7000 cubes.