Answer:
Area of wood required = 96 in²
Step-by-step explanation:
Since volume of a cube = Length × Width × Height
64 = (Side)³
Side = 4 inch
Area of the wood required to build a wooden box = Surface area of all 6 sides of the cube
= 6(Area of one side of the box)
= 6(Side)²
= 6(4)²
= 96 inch²
Therefore, 96 square inches of wood will be required to build the wooden box.
Answer:
Step-by-step explanation:
1. The length of one edge of the box is 4 inches due to the 64 cubic inches being 4 x 4 x 4 with all sides being equal.
2. The area of a face of the box is height x width, therefore 4 x 4 = 16 inches squared .
3. The total area of all faces is the answer from part 2 x all faces of a box, which is 6; therefore 6 x 16 = 96 inches squared.
4. Carlos needs 96 square inches of wood to build his box.