Calculate surface area and the volume of a box that is 3m by 2m by 7.5m
Show me how to get the answer please.
(3X2)x2+(2x7.5)x2+(3X7.5)x2= surface area
3x2x7.5= volume
Volume =length x width x height
You just multiply all three numbers to get what ever number m^3.
87m=SA
45m=V
To calculate the surface area of a box, you need to find the area of each of its six faces and then add them together. The formula for finding the area of a rectangle is length times width, so for each face:
1. Top face: Length * Width = 3m * 2m = 6m².
2. Bottom face: Length * Width = 3m * 2m = 6m².
3. Front face: Length * Width = 3m * 7.5m = 22.5m².
4. Back face: Length * Width = 3m * 7.5m = 22.5m².
5. Left side face: Length * Width = 2m * 7.5m = 15m².
6. Right side face: Length * Width = 2m * 7.5m = 15m².
Now, add the areas of all the faces together: 6m² + 6m² + 22.5m² + 22.5m² + 15m² + 15m² = 87m².
Therefore, the surface area of the box is 87 square meters.
To calculate the volume of a box, you need to multiply the length by the width by the height. In this case:
Volume = Length * Width * Height = 3m * 2m * 7.5m = 45m³.
Therefore, the volume of the box is 45 cubic meters.